#include <stdint.h>

/* size: 128000 */
/* framerate: 32000 */
/* bits: 8 */
/* channel number: 2 */
const uint8_t wave_array_32000_8_2[128000]={
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,
1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1,
0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1,
1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1,
1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1,
1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0,
1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1,
0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2,
2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, -1, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 1, -1, 1, -1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, -1, 0, -2, 0, -2, 0, -3, -1, -3, -1, -2, -1, -2,
-1, -1, -1, 0, -1, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 7, 1, 7, 1, 7, 1, 6, 0, 6, 0, 4, 0, 3, 0, 2, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 3, 3, 4, 3, 5, 3, 5, 3, 6, 3, 5, 3, 5, 2, 4, 1, 2,
0, 0, -1, -2, -2, -5, -3, -7, -3, -8, -4, -9, -4, -10, -4, -10, -4, -9, -3, -7, -3, -6, -2, -4, -1, -1, 0, 1, 1, 3, 2, 4, 3, 5, 3, 6, 4, 6, 4, 5, 4, 4, 3, 2, 3, 1, 3, -1, 3, -2, 3, -2, 3, -2, 4, -2, 4, 0, 5, 2, 5, 4, 6, 6,
6, 8, 6, 11, 6, 12, 6, 13, 5, 14, 4, 14, 2, 12, 0, 11, -2, 8, -5, 5, -7, 2, -10, -1, -12, -3, -14, -5, -15, -6, -16, -5, -16, -4, -16, -3, -15, 0, -14, 3, -12, 6, -11, 9, -9, 11, -7, 14, -5, 15, -3, 16, -1, 15, 0, 14, 1, 11, 2, 9, 3, 6, 4, 3,
5, 0, 6, -2, 7, -3, 8, -3, 8, -3, 9, -2, 10, -1, 11, 1, 12, 3, 12, 6, 13, 8, 13, 9, 12, 10, 11, 10, 10, 10, 8, 8, 6, 6, 4, 4, 1, 1, -1, -2, -2, -4, -4, -6, -5, -7, -5, -7, -4, -6, -3, -3, -2, 0, 0, 3, 1, 7, 4, 11, 6, 15, 8, 19,
11, 22, 13, 24, 16, 26, 17, 26, 19, 25, 19, 23, 20, 20, 20, 18, 20, 15, 20, 13, 20, 10, 20, 9, 19, 7, 18, 7, 17, 6, 16, 7, 15, 7, 14, 8, 13, 9, 12, 9, 10, 9, 9, 8, 6, 7, 3, 4, 0, 2, -3, -2, -6, -5, -8, -8, -11, -11, -13, -14, -14, -15, -15, -16,
-15, -15, -15, -14, -14, -11, -12, -8, -11, -4, -9, 0, -7, 4, -4, 8, -1, 12, 2, 15, 5, 17, 8, 19, 10, 19, 12, 19, 13, 17, 14, 16, 15, 14, 15, 13, 16, 11, 17, 10, 17, 10, 17, 9, 16, 10, 15, 11, 14, 12, 13, 14, 12, 16, 10, 18, 9, 19, 7, 19, 5, 19, 2, 17,
-2, 15, -5, 12, -8, 9, -12, 5, -14, 2, -17, -2, -19, -4, -20, -7, -20, -8, -20, -8, -19, -7, -17, -6, -16, -4, -14, -2, -12, 0, -10, 3, -8, 5, -5, 7, -2, 9, 1, 9, 3, 9, 5, 8, 6, 6, 7, 4, 8, 1, 9, -1, 10, -3, 11, -5, 12, -7, 12, -8, 11, -8, 11, -8,
10, -7, 9, -6, 8, -4, 8, -2, 7, -1, 7, 1, 5, 1, 3, 1, 0, 1, -2, 0, -6, -2, -9, -4, -12, -6, -15, -8, -17, -10, -19, -11, -20, -11, -21, -10, -20, -9, -19, -6, -18, -2, -17, 1, -15, 5, -13, 9, -11, 13, -9, 16, -5, 19, -2, 21, 1, 23, 3, 22, 5, 21, 6, 20,
7, 17, 8, 15, 10, 12, 12, 10, 13, 8, 14, 6, 15, 4, 15, 3, 15, 2, 14, 2, 14, 3, 14, 3, 14, 4, 13, 4, 12, 4, 11, 3, 8, 2, 5, 0, 3, -3, -1, -6, -4, -9, -6, -12, -9, -15, -11, -18, -13, -20, -13, -21, -13, -20, -13, -19, -12, -17, -10, -14, -9, -11, -7, -7,
-5, -4, -3, 0, 0, 4, 3, 7, 7, 10, 10, 12, 13, 14, 15, 14, 17, 14, 18, 13, 20, 13, 21, 12, 23, 11, 25, 11, 26, 11, 26, 11, 26, 11, 25, 12, 24, 13, 23, 15, 23, 17, 22, 18, 21, 19, 19, 19, 16, 18, 13, 17, 9, 14, 5, 11, 1, 8, -2, 5, -6, 2, -10, -2,
-13, -4, -15, -6, -16, -7, -17, -8, -17, -7, -16, -5, -16, -3, -15, 0, -14, 2, -12, 5, -10, 8, -7, 11, -3, 13, 0, 15, 3, 15, 6, 15, 8, 14, 10, 13, 12, 11, 14, 9, 16, 8, 18, 6, 20, 5, 21, 4, 22, 4, 22, 4, 21, 4, 20, 6, 20, 7, 19, 9, 19, 10, 18, 11,
16, 12, 14, 11, 11, 11, 7, 9, 4, 8, 0, 6, -4, 3, -7, 1, -10, -1, -12, -3, -14, -4, -14, -4, -14, -3, -14, -2, -13, 1, -11, 4, -10, 7, -9, 10, -7, 13, -4, 17, -1, 19, 3, 21, 6, 23, 8, 23, 10, 22, 12, 21, 13, 19, 14, 17, 15, 15, 17, 13, 18, 11, 19, 9,
20, 7, 19, 5, 18, 4, 16, 3, 14, 3, 12, 3, 11, 3, 9, 3, 7, 2, 4, 0, 1, -1, -3, -4, -6, -6, -10, -9, -14, -12, -17, -15, -20, -17, -22, -19, -24, -20, -25, -21, -25, -20, -24, -18, -23, -15, -21, -11, -19, -8, -17, -3, -15, 1, -12, 5, -9, 9, -5, 13, 0, 16, 4, 19,
7, 21, 10, 21, 12, 21, 13, 21, 15, 20, 17, 19, 18, 18, 20, 17, 21, 16, 21, 16, 21, 15, 20, 16, 19, 17, 17, 18, 16, 19, 15, 20, 14, 21, 12, 21, 10, 20, 7, 19, 4, 17, 0, 14, -3, 12, -6, 9, -9, 6, -11, 3, -13, 1, -14, -1, -14, -3, -14, -3, -12, -3, -11, -2,
-9, 0, -7, 2, -5, 4, -2, 6, 0, 8, 4, 10, 7, 12, 11, 14, 14, 14, 17, 14, 19, 13, 20, 12, 21, 10, 22, 8, 23, 7, 25, 5, 26, 4, 26, 3, 25, 2, 23, 1, 21, 1, 19, 2, 17, 3, 15, 4, 14, 5, 12, 6, 10, 6, 8, 6, 5, 5, 2, 5, -1, 4, -4, 3,
-7, 2, -9, 0, -11, -1, -13, -1, -13, -2, -13, -1, -12, 1, -10, 4, -8, 7, -6, 11, -3, 14, -1, 18, 1, 22, 4, 25, 7, 28, 11, 30, 15, 32, 18, 32, 20, 31, 22, 30, 23, 28, 24, 26, 25, 23, 26, 20, 27, 18, 27, 15, 27, 13, 26, 11, 24, 9, 22, 8, 20, 7, 18, 7,
16, 7, 14, 7, 12, 7, 10, 6, 7, 5, 4, 3, 1, 1, -2, -1, -5, -3, -8, -5, -11, -8, -12, -10, -14, -11, -14, -12, -14, -12, -13, -11, -12, -10, -10, -7, -9, -5, -7, -2, -5, 1, -3, 4, 0, 7, 3, 10, 6, 12, 9, 14, 12, 15, 14, 16, 15, 16, 16, 15, 16, 14, 17, 13,
18, 12, 18, 11, 19, 10, 18, 9, 17, 8, 15, 8, 13, 8, 11, 8, 9, 9, 7, 10, 6, 10, 4, 10, 1, 9, -2, 8, -5, 6, -8, 4, -12, 2, -15, -1, -18, -3, -21, -6, -24, -8, -25, -10, -26, -11, -26, -11, -26, -11, -25, -9, -23, -8, -22, -6, -21, -4, -20, -2, -18, 0, -16, 2,
-13, 4, -10, 5, -7, 6, -4, 6, -2, 5, 0, 4, 1, 3, 3, 1, 4, 0, 6, -2, 8, -3, 10, -4, 10, -4, 10, -5, 9, -4, 8, -4, 8, -3, 7, -1, 6, 0, 6, 1, 5, 2, 3, 2, 1, 2, -1, 2, -4, 1, -6, 0, -9, -1, -12, -3, -14, -4, -16, -6, -17, -7, -18, -7,
-18, -7, -17, -6, -16, -4, -14, -1, -13, 1, -11, 4, -10, 6, -8, 8, -5, 10, -2, 12, 1, 14, 4, 14, 7, 14, 9, 13, 10, 12, 12, 10, 13, 9, 15, 7, 16, 5, 18, 3, 20, 1, 20, 0, 20, -2, 19, -3, 17, -4, 16, -4, 15, -4, 13, -4, 12, -5, 10, -6, 8, -7, 5, -9,
2, -11, -2, -13, -5, -15, -8, -17, -11, -19, -14, -21, -17, -22, -18, -23, -20, -23, -20, -21, -19, -20, -19, -17, -18, -14, -17, -10, -16, -7, -14, -4, -12, 0, -9, 3, -5, 6, -2, 9, 2, 12, 6, 13, 8, 15, 11, 15, 13, 15, 15, 15, 18, 15, 21, 15, 24, 16, 26, 16, 28, 16, 28, 16,
28, 17, 28, 18, 27, 19, 26, 20, 26, 20, 25, 21, 23, 20, 21, 19, 18, 17, 14, 15, 11, 13, 7, 10, 4, 8, 0, 5, -3, 2, -5, 0, -7, -2, -9, -4, -9, -4, -9, -4, -9, -3, -9, -2, -8, -1, -7, 1, -7, 3, -5, 4, -2, 6, 0, 7, 4, 8, 6, 9, 9, 9, 11, 8,
12, 7, 14, 6, 15, 5, 17, 4, 19, 3, 21, 2, 22, 2, 22, 1, 21, 1, 20, 1, 18, 1, 17, 2, 15, 2, 14, 3, 12, 3, 10, 3, 7, 2, 4, 1, 0, 0, -3, -1, -7, -2, -11, -4, -14, -5, -17, -6, -19, -7, -21, -8, -22, -7, -22, -6, -21, -4, -20, -1, -19, 2, -18, 5,
-17, 8, -15, 10, -12, 13, -9, 16, -6, 18, -2, 19, 1, 20, 4, 20, 6, 20, 7, 18, 9, 17, 11, 16, 13, 14, 15, 12, 17, 11, 18, 9, 18, 7, 17, 6, 16, 5, 14, 4, 12, 4, 11, 3, 9, 2, 7, 1, 5, 0, 2, -2, -2, -4, -5, -6, -8, -8, -11, -10, -14, -12, -17, -14,
-19, -16, -21, -17, -22, -17, -21, -17, -21, -15, -20, -13, -18, -11, -17, -8, -15, -5, -13, -2, -11, 0, -8, 3, -4, 6, -1, 9, 3, 11, 6, 12, 9, 13, 11, 14, 13, 14, 14, 13, 15, 13, 17, 12, 19, 11, 20, 11, 20, 10, 19, 10, 18, 9, 16, 10, 15, 10, 13, 10, 11, 10, 10, 10,
8, 10, 5, 8, 2, 7, -1, 5, -4, 3, -8, 1, -11, -1, -13, -3, -16, -5, -18, -6, -19, -8, -19, -8, -19, -8, -18, -7, -17, -6, -15, -4, -13, -2, -12, 0, -10, 2, -8, 4, -5, 6, -1, 8, 2, 9, 6, 10, 9, 11, 11, 11, 13, 10, 15, 10, 16, 9, 18, 8, 20, 7, 21, 7,
22, 6, 22, 6, 22, 5, 20, 5, 19, 6, 17, 6, 16, 7, 14, 8, 13, 8, 11, 8, 10, 9, 7, 8, 5, 8, 3, 8, 0, 7, -2, 7, -4, 6, -5, 6, -6, 5, -6, 5, -6, 6, -5, 7, -3, 9, -1, 11, 1, 13, 3, 16, 5, 18, 7, 20, 10, 22, 13, 24, 16, 25, 19, 26,
22, 26, 24, 25, 26, 24, 26, 22, 27, 20, 27, 18, 28, 16, 28, 14, 29, 11, 28, 9, 27, 7, 25, 5, 22, 4, 19, 3, 16, 2, 14, 1, 11, 0, 9, -1, 6, -2, 3, -4, 0, -5, -4, -7, -7, -9, -10, -10, -13, -12, -16, -14, -18, -15, -19, -16, -21, -16, -21, -16, -20, -15, -19, -13,
-18, -10, -17, -8, -16, -5, -14, -2, -12, 0, -10, 3, -7, 6, -4, 8, -1, 10, 2, 12, 4, 13, 6, 14, 8, 14, 9, 14, 10, 13, 11, 13, 13, 12, 14, 12, 15, 11, 15, 11, 14, 11, 13, 11, 11, 11, 10, 11, 8, 11, 7, 12, 5, 11, 3, 10, 1, 9, -2, 8, -4, 6, -7, 4,
-10, 2, -13, 0, -15, -2, -17, -4, -18, -5, -19, -7, -20, -7, -19, -7, -18, -7, -18, -7, -17, -6, -16, -5, -15, -4, -14, -3, -12, -3, -10, -2, -8, -1, -5, -1, -3, -1, -1, -2, 0, -3, 2, -4, 2, -5, 4, -6, 5, -7, 7, -8, 7, -9, 8, -10, 8, -10, 6, -10, 5, -10, 4, -10,
2, -9, 1, -9, 0, -8, -2, -8, -3, -8, -5, -8, -8, -9, -10, -9, -13, -10, -16, -10, -18, -11, -20, -12, -22, -13, -24, -13, -25, -13, -25, -13, -24, -11, -23, -9, -22, -7, -21, -4, -19, -2, -18, 0, -16, 2, -13, 4, -10, 6, -7, 8, -4, 9, -1, 9, 2, 10, 4, 9, 6, 8, 8, 7,
10, 6, 13, 5, 15, 4, 17, 3, 18, 1, 19, 0, 19, -1, 18, -1, 17, -2, 16, -2, 15, -3, 14, -3, 12, -4, 10, -5, 8, -6, 5, -8, 2, -9, -1, -11, -3, -12, -6, -14, -8, -15, -10, -16, -12, -17, -13, -17, -13, -16, -13, -14, -12, -13, -12, -10, -11, -8, -10, -6, -9, -4, -7, -2,
-5, 1, -1, 3, 2, 5, 5, 7, 8, 9, 11, 10, 13, 11, 16, 11, 18, 11, 20, 11, 23, 11, 25, 11, 27, 11, 28, 11, 28, 11, 28, 11, 27, 11, 25, 12, 24, 12, 23, 12, 21, 11, 19, 10, 16, 9, 13, 7, 10, 5, 6, 3, 3, 1, -1, -1, -4, -3, -8, -5, -10, -7, -13, -8,
-14, -9, -15, -9, -16, -9, -16, -8, -16, -7, -16, -5, -15, -4, -14, -2, -13, -1, -11, 1, -8, 2, -5, 4, -2, 5, 0, 5, 2, 5, 5, 5, 6, 5, 9, 5, 11, 4, 13, 4, 15, 4, 17, 4, 18, 3, 18, 3, 17, 3, 16, 3, 15, 4, 14, 4, 13, 4, 11, 4, 9, 4, 7, 4,
4, 3, 2, 3, -1, 2, -4, 1, -7, 1, -10, 0, -12, -1, -14, -2, -15, -2, -16, -2, -16, -1, -15, 0, -15, 2, -14, 4, -13, 6, -11, 8, -10, 9, -8, 11, -5, 12, -2, 14, 1, 14, 4, 15, 6, 15, 8, 14, 9, 13, 11, 11, 12, 10, 14, 8, 15, 7, 17, 5, 17, 3, 16, 1,
15, 0, 13, -2, 11, -3, 9, -5, 6, -6, 4, -7, 1, -9, -2, -11, -5, -13, -8, -15, -12, -17, -15, -18, -19, -20, -22, -22, -25, -23, -27, -24, -29, -25, -30, -24, -30, -24, -30, -22, -29, -20, -28, -18, -27, -15, -26, -12, -24, -9, -21, -7, -19, -4, -15, -1, -11, 2, -7, 4, -4, 6, -1, 8,
2, 9, 4, 10, 6, 10, 8, 10, 11, 10, 13, 10, 15, 10, 16, 10, 16, 10, 16, 10, 15, 10, 14, 10, 13, 10, 12, 10, 10, 10, 9, 9, 7, 8, 5, 7, 2, 6, 0, 5, -3, 3, -5, 2, -7, 1, -9, -1, -10, -2, -11, -3, -12, -4, -11, -4, -10, -4, -9, -3, -8, -2, -6, -1,
-5, 1, -3, 2, -1, 3, 1, 4, 4, 5, 7, 6, 10, 6, 12, 7, 14, 7, 16, 6, 17, 5, 18, 5, 20, 4, 21, 3, 22, 3, 22, 2, 22, 1, 21, 1, 20, 0, 18, 0, 15, 0, 13, 0, 11, 0, 9, 0, 7, 0, 5, 0, 3, 0, 0, 0, -2, -1, -4, -1, -6, -1, -8, -1,
-10, -1, -11, -2, -11, -1, -11, -1, -10, 1, -9, 2, -7, 5, -6, 7, -4, 9, -2, 12, -1, 14, 2, 16, 4, 17, 7, 19, 11, 20, 13, 20, 16, 21, 18, 20, 19, 19, 21, 18, 22, 17, 23, 15, 24, 14, 25, 12, 25, 10, 24, 9, 23, 7, 21, 6, 19, 5, 16, 4, 14, 3, 12, 2,
10, 2, 7, 0, 5, -1, 2, -2, -1, -3, -4, -5, -6, -6, -9, -7, -11, -8, -13, -9, -14, -9, -15, -10, -15, -9, -14, -9, -14, -7, -13, -6, -12, -4, -11, -2, -9, -1, -8, 1, -6, 3, -3, 4, -1, 6, 2, 8, 5, 9, 7, 10, 9, 10, 10, 10, 11, 10, 12, 10, 13, 9, 14, 8,
15, 8, 15, 7, 14, 6, 13, 6, 12, 5, 10, 5, 8, 4, 6, 4, 4, 3, 2, 2, -1, 1, -3, 0, -6, -2, -9, -3, -12, -5, -15, -6, -18, -8, -21, -10, -23, -11, -24, -13, -26, -14, -26, -14, -27, -14, -26, -14, -26, -13, -26, -13, -25, -12, -25, -11, -24, -11, -22, -10, -20, -9, -18, -8,
-15, -8, -13, -7, -10, -7, -9, -8, -7, -8, -6, -9, -4, -9, -2, -9, 0, -10, 1, -10, 2, -10, 3, -10, 2, -10, 2, -10, 1, -9, 0, -9, -1, -8, -1, -8, -2, -8, -3, -7, -5, -7, -6, -7, -8, -7, -10, -7, -12, -7, -14, -7, -15, -8, -17, -8, -18, -8, -18, -8, -18, -8, -17, -7,
-16, -5, -15, -3, -13, -2, -12, 0, -11, 1, -9, 2, -7, 4, -4, 5, -1, 6, 2, 6, 5, 7, 7, 7, 9, 6, 11, 5, 12, 4, 14, 3, 16, 1, 18, 0, 20, -1, 20, -3, 20, -4, 20, -5, 18, -6, 17, -7, 15, -8, 13, -9, 11, -10, 9, -12, 7, -13, 4, -14, 1, -16, -2, -17,
-5, -18, -8, -19, -11, -20, -14, -21, -16, -22, -18, -22, -19, -22, -20, -21, -20, -20, -20, -18, -19, -16, -19, -14, -18, -12, -17, -10, -15, -8, -13, -5, -9, -3, -6, 0, -2, 2, 1, 4, 4, 6, 6, 7, 9, 8, 12, 8, 14, 9, 17, 9, 20, 10, 23, 10, 25, 11, 25, 11, 26, 11, 25, 12,
25, 12, 24, 12, 23, 12, 22, 11, 20, 11, 18, 10, 16, 9, 13, 7, 10, 6, 7, 5, 4, 3, 1, 2, -2, 0, -4, -1, -6, -3, -7, -3, -8, -3, -8, -3, -9, -3, -9, -2, -8, -1, -8, 0, -8, 0, -6, 1, -5, 2, -2, 3, 0, 4, 3, 4, 5, 4, 7, 4, 8, 4, 10, 3,
12, 3, 13, 2, 15, 2, 16, 1, 17, 1, 18, 0, 17, -1, 16, -1, 14, -1, 12, -2, 10, -2, 9, -3, 7, -3, 4, -3, 2, -4, -1, -4, -4, -5, -7, -5, -10, -6, -13, -6, -16, -7, -18, -8, -20, -8, -22, -8, -23, -8, -23, -7, -23, -5, -22, -4, -21, -2, -20, 0, -19, 1, -18, 3,
-16, 4, -14, 6, -11, 7, -8, 8, -5, 9, -2, 9, 0, 9, 2, 8, 3, 8, 5, 7, 7, 5, 9, 4, 11, 3, 11, 2, 12, 0, 11, -1, 10, -2, 8, -4, 6, -5, 4, -6, 2, -7, 0, -9, -2, -10, -5, -12, -8, -13, -10, -14, -13, -15, -16, -17, -18, -18, -21, -18, -22, -19, -24, -19,
-25, -19, -25, -18, -24, -17, -23, -15, -22, -13, -21, -11, -19, -9, -18, -7, -15, -5, -13, -3, -10, -1, -6, 1, -2, 3, 1, 5, 4, 6, 6, 7, 8, 8, 10, 8, 12, 8, 13, 7, 15, 7, 17, 7, 17, 6, 17, 6, 17, 5, 15, 5, 14, 4, 12, 4, 11, 3, 9, 3, 7, 2, 4, 1,
2, -1, -1, -2, -4, -3, -6, -4, -9, -5, -11, -7, -13, -8, -14, -9, -16, -10, -16, -10, -16, -10, -16, -10, -15, -9, -14, -8, -13, -7, -12, -6, -11, -5, -9, -3, -7, -2, -4, -1, -1, 0, 1, 1, 4, 1, 6, 2, 8, 2, 9, 2, 11, 1, 12, 1, 14, 1, 16, 1, 17, 1, 17, 0,
17, 0, 16, 0, 15, 0, 13, 0, 12, 0, 10, 0, 9, 1, 8, 1, 6, 1, 5, 1, 3, 2, 1, 2, -1, 3, -2, 3, -3, 3, -4, 3, -5, 4, -5, 4, -4, 5, -3, 6, -2, 8, 0, 10, 2, 12, 3, 14, 5, 15, 7, 16, 9, 17, 12, 18, 14, 19, 17, 20, 20, 20, 22, 20,
24, 20, 25, 19, 25, 17, 26, 16, 26, 14, 27, 12, 27, 11, 27, 9, 26, 7, 24, 6, 22, 4, 19, 3, 16, 1, 13, 0, 11, -2, 8, -3, 5, -4, 2, -6, -1, -7, -4, -8, -7, -10, -10, -11, -13, -12, -15, -13, -17, -13, -19, -14, -20, -14, -21, -14, -21, -13, -21, -12, -20, -10, -19, -9,
-19, -7, -18, -6, -16, -5, -15, -3, -12, -1, -10, 0, -7, 2, -4, 3, -2, 5, 0, 5, 1, 6, 3, 6, 4, 6, 6, 6, 7, 6, 8, 5, 9, 5, 10, 5, 9, 5, 9, 4, 7, 4, 6, 4, 5, 4, 3, 3, 2, 3, 0, 2, -2, 1, -4, 0, -7, -1, -9, -2, -11, -3, -13, -4,
-15, -5, -17, -6, -18, -8, -19, -9, -20, -9, -20, -9, -19, -9, -19, -9, -18, -8, -18, -8, -17, -8, -17, -8, -15, -8, -14, -7, -11, -7, -9, -7, -7, -7, -5, -7, -4, -7, -2, -8, -1, -9, 0, -9, 1, -10, 3, -10, 4, -11, 5, -11, 5, -11, 4, -12, 3, -12, 2, -12, 0, -12, -1, -12,
-2, -12, -4, -12, -5, -12, -7, -12, -9, -12, -11, -12, -13, -12, -15, -12, -17, -12, -19, -13, -21, -13, -22, -13, -23, -13, -23, -13, -22, -11, -21, -10, -21, -9, -19, -7, -18, -6, -17, -5, -15, -3, -13, -2, -11, -1, -8, 0, -5, 0, -2, 1, 0, 1, 2, 1, 4, 1, 6, 0, 9, -1, 11, -2,
13, -2, 15, -3, 16, -4, 17, -5, 16, -6, 16, -7, 15, -7, 13, -8, 12, -9, 11, -9, 9, -10, 7, -11, 5, -12, 3, -13, 0, -13, -2, -14, -5, -15, -7, -15, -9, -16, -11, -16, -12, -16, -13, -16, -13, -15, -13, -13, -13, -12, -12, -10, -12, -9, -11, -7, -10, -6, -8, -4, -6, -2, -3, 0,
0, 2, 4, 3, 7, 5, 10, 6, 12, 7, 15, 8, 17, 9, 20, 9, 22, 9, 25, 9, 27, 9, 28, 9, 28, 9, 28, 9, 27, 9, 26, 8, 24, 8, 23, 8, 21, 7, 19, 6, 16, 5, 13, 4, 10, 2, 7, 1, 4, 0, 1, -1, -3, -3, -6, -4, -8, -5, -10, -6, -12, -7, -13, -7,
-14, -7, -14, -6, -15, -6, -15, -5, -15, -5, -14, -4, -14, -4, -12, -3, -10, -2, -8, -1, -5, -1, -3, 0, -1, 0, 1, 0, 2, 0, 4, -1, 6, -1, 8, -1, 10, -1, 11, -1, 12, -2, 12, -2, 11, -2, 10, -2, 9, -3, 8, -3, 6, -3, 5, -3, 3, -3, 1, -3, -1, -3, -3, -3,
-5, -3, -8, -3, -10, -3, -12, -3, -14, -3, -15, -3, -16, -3, -17, -3, -17, -1, -16, 0, -15, 1, -14, 3, -13, 4, -12, 6, -11, 7, -9, 8, -7, 9, -4, 9, -1, 10, 1, 10, 4, 11, 6, 10, 7, 9, 9, 8, 10, 7, 12, 6, 13, 4, 14, 3, 15, 1, 14, 0, 13, -2, 12, -4,
9, -5, 7, -7, 5, -9, 2, -10, 0, -12, -3, -13, -6, -15, -9, -16, -12, -18, -15, -19, -19, -20, -21, -21, -24, -21, -26, -22, -28, -22, -29, -22, -29, -21, -29, -20, -29, -18, -28, -16, -27, -15, -26, -13, -24, -11, -22, -10, -20, -8, -17, -6, -14, -4, -10, -2, -7, 0, -4, 1, -1, 2, 1, 3,
3, 3, 5, 3, 7, 4, 9, 4, 11, 4, 12, 3, 13, 3, 13, 3, 12, 3, 11, 3, 10, 3, 9, 2, 8, 2, 7, 1, 5, 1, 3, 0, 1, 0, -1, -1, -3, -2, -5, -2, -6, -3, -8, -4, -9, -4, -9, -5, -10, -5, -9, -5, -9, -4, -8, -3, -7, -2, -6, -2, -5, -1, -3, 0,
-2, 0, 0, 1, 2, 2, 5, 2, 7, 3, 10, 3, 12, 3, 13, 3, 15, 3, 16, 2, 17, 2, 18, 2, 19, 1, 20, 1, 20, 0, 19, 0, 18, 0, 16, -1, 15, -1, 13, -2, 11, -2, 9, -2, 7, -2, 5, -2, 4, -2, 1, -1, -1, -1, -2, -1, -4, -1, -6, 0, -7, 0, -8, 0,
-8, 1, -8, 1, -8, 3, -7, 4, -6, 6, -4, 8, -3, 9, -2, 10, 0, 12, 2, 12, 4, 13, 6, 14, 9, 15, 11, 15, 14, 15, 15, 15, 17, 14, 18, 14, 18, 12, 19, 11, 20, 10, 21, 9, 21, 8, 21, 6, 20, 5, 18, 4, 16, 3, 14, 2, 12, 1, 9, 0, 7, -1, 5, -2,
3, -3, 0, -4, -2, -5, -5, -6, -7, -6, -9, -7, -11, -8, -13, -8, -14, -8, -15, -8, -15, -8, -15, -7, -15, -6, -14, -5, -13, -4, -12, -3, -11, -2, -10, -1, -9, 0, -7, 2, -4, 3, -2, 4, 1, 6, 3, 7, 5, 7, 6, 7, 8, 7, 9, 7, 10, 7, 11, 6, 12, 6, 13, 6,
13, 5, 12, 5, 11, 4, 10, 3, 8, 3, 6, 2, 4, 1, 3, 1, 0, 0, -2, -1, -4, -2, -7, -3, -10, -4, -12, -5, -15, -7, -17, -8, -19, -9, -21, -10, -22, -11, -23, -11, -23, -12, -24, -12, -24, -12, -23, -11, -23, -11, -23, -11, -22, -11, -21, -11, -20, -11, -18, -11, -16, -11, -14, -11,
-12, -11, -10, -11, -9, -11, -7, -11, -6, -12, -4, -12, -3, -12, -1, -12, 0, -12, 1, -12, 1, -12, 0, -12, -1, -12, -1, -12, -2, -12, -3, -12, -4, -11, -5, -11, -6, -11, -7, -10, -8, -10, -10, -9, -11, -9, -13, -9, -14, -9, -15, -9, -16, -9, -16, -8, -16, -8, -16, -6, -15, -5, -14, -4,
-13, -3, -11, -2, -10, -1, -8, 0, -6, 1, -4, 2, -1, 2, 2, 3, 4, 3, 7, 3, 9, 3, 11, 2, 12, 2, 14, 1, 16, 0, 18, -1, 19, -2, 20, -3, 21, -4, 20, -5, 19, -6, 17, -7, 16, -8, 14, -9, 12, -10, 10, -11, 8, -12, 5, -13, 2, -14, 0, -15, -3, -15, -6, -16,
-9, -16, -11, -17, -13, -17, -15, -17, -16, -17, -17, -16, -17, -15, -17, -14, -17, -13, -17, -11, -16, -10, -15, -9, -14, -8, -12, -6, -10, -4, -7, -2, -3, 0, 0, 1, 3, 3, 5, 4, 8, 4, 10, 5, 13, 6, 15, 6, 18, 7, 20, 7, 22, 7, 23, 8, 23, 8, 23, 8, 23, 8, 22, 8,
21, 7, 20, 7, 18, 7, 16, 6, 14, 5, 12, 5, 9, 4, 6, 3, 4, 2, 1, 2, -1, 1, -3, 0, -5, -1, -7, -1, -8, -1, -8, -1, -8, -1, -8, 0, -9, 0, -8, 0, -8, 1, -7, 1, -6, 1, -4, 2, -2, 2, 1, 2, 3, 2, 5, 2, 6, 2, 8, 2, 9, 1, 11, 1,
12, 0, 14, 0, 15, -1, 15, -1, 15, -2, 14, -2, 12, -3, 11, -3, 9, -4, 7, -4, 5, -5, 3, -5, 1, -5, -2, -5, -4, -5, -7, -5, -9, -5, -12, -5, -14, -5, -16, -5, -18, -5, -19, -5, -20, -5, -21, -4, -20, -3, -20, -1, -19, 0, -19, 1, -18, 2, -17, 3, -15, 4, -13, 4,
-11, 5, -8, 6, -5, 7, -3, 7, -1, 6, 1, 6, 3, 5, 4, 4, 6, 3, 8, 2, 9, 1, 10, 0, 10, -1, 10, -2, 9, -4, 7, -5, 5, -6, 4, -8, 2, -9, 0, -10, -2, -11, -5, -12, -7, -13, -10, -14, -12, -15, -15, -15, -17, -16, -19, -16, -21, -16, -22, -16, -23, -16, -23, -15,
-23, -14, -22, -12, -21, -11, -20, -10, -19, -8, -17, -7, -16, -6, -13, -4, -11, -3, -8, -1, -4, 0, -1, 2, 1, 3, 4, 4, 6, 4, 8, 4, 9, 4, 11, 4, 13, 4, 15, 4, 15, 3, 16, 3, 16, 3, 15, 2, 14, 2, 12, 1, 11, 1, 9, 0, 8, 0, 6, -1, 4, -2, 2, -2,
-1, -3, -3, -4, -5, -4, -7, -5, -9, -5, -10, -6, -11, -6, -12, -7, -12, -6, -12, -6, -12, -5, -11, -5, -10, -4, -10, -3, -9, -3, -7, -3, -6, -2, -4, -1, -1, -1, 1, 0, 3, 0, 5, 0, 7, 0, 8, 0, 9, 0, 11, 0, 12, 0, 13, 0, 14, 0, 15, -1, 15, -1, 14, -1,
13, -1, 12, -1, 11, -1, 10, -1, 8, -1, 7, -1, 6, 0, 4, 0, 3, 1, 1, 2, 0, 2, -1, 3, -2, 3, -3, 4, -4, 5, -4, 5, -4, 6, -3, 8, -2, 9, -1, 10, 1, 12, 2, 13, 4, 14, 5, 15, 7, 16, 9, 16, 11, 17, 14, 17, 16, 17, 18, 17, 20, 17, 21, 16,
22, 15, 23, 14, 23, 13, 24, 12, 24, 10, 24, 9, 24, 8, 22, 7, 21, 5, 18, 4, 16, 2, 14, 1, 11, 0, 9, -1, 6, -3, 4, -4, 1, -5, -2, -5, -5, -6, -7, -7, -10, -8, -12, -8, -14, -9, -16, -9, -17, -9, -18, -9, -19, -8, -19, -7, -18, -7, -18, -6, -17, -5, -17, -4,
-16, -3, -15, -2, -13, -1, -11, 0, -9, 1, -6, 2, -4, 3, -2, 4, -1, 4, 1, 4, 2, 4, 4, 4, 5, 4, 7, 4, 8, 4, 8, 4, 8, 4, 8, 4, 7, 4, 6, 3, 5, 3, 4, 3, 3, 2, 1, 2, -1, 1, -2, 0, -4, 0, -6, -1, -8, -1, -10, -2, -12, -3, -14, -4,
-15, -5, -16, -5, -17, -6, -17, -6, -17, -6, -17, -6, -17, -6, -16, -6, -16, -7, -15, -7, -14, -7, -13, -7, -11, -7, -9, -7, -7, -8, -5, -8, -4, -8, -3, -9, -2, -9, 0, -10, 1, -10, 2, -11, 3, -11, 4, -11, 5, -11, 4, -12, 4, -12, 3, -12, 2, -12, 0, -12, -1, -12, -2, -12,
-3, -12, -5, -12, -6, -12, -8, -11, -10, -11, -12, -11, -14, -11, -16, -11, -17, -11, -18, -11, -19, -10, -19, -10, -19, -9, -19, -8, -18, -6, -17, -6, -16, -5, -15, -4, -14, -3, -12, -3, -10, -2, -7, -1, -4, 0, -2, 0, 1, 0, 3, 0, 5, 0, 7, 0, 9, -1, 11, -1, 13, -2, 15, -2,
16, -3, 17, -3, 17, -4, 17, -5, 16, -5, 15, -6, 14, -7, 12, -7, 11, -8, 9, -9, 7, -9, 5, -10, 3, -10, 0, -10, -2, -11, -4, -11, -6, -11, -8, -11, -10, -11, -11, -11, -11, -10, -12, -9, -11, -8, -11, -7, -11, -6, -10, -5, -9, -4, -8, -4, -6, -2, -4, -1, -1, 0, 1, 2,
4, 3, 7, 4, 9, 5, 12, 6, 14, 6, 16, 6, 19, 7, 21, 7, 23, 7, 24, 7, 25, 7, 25, 7, 25, 7, 24, 7, 23, 7, 21, 6, 20, 6, 18, 5, 16, 5, 14, 4, 11, 3, 8, 3, 5, 2, 2, 1, -1, 0, -3, 0, -6, -1, -8, -2, -10, -2, -11, -2, -12, -2, -12, -2,
-13, -2, -13, -1, -13, -1, -13, -1, -12, -1, -11, -1, -9, -1, -7, 0, -5, 0, -3, 0, -1, 0, 0, 0, 2, 0, 3, -1, 5, -1, 7, -1, 8, -1, 10, -1, 10, -1, 11, -2, 10, -2, 9, -2, 8, -3, 7, -3, 6, -3, 5, -3, 3, -3, 1, -3, 0, -2, -2, -2, -5, -2, -7, -1,
-9, -1, -11, -1, -12, -1, -14, -1, -15, 0, -15, 0, -15, 1, -15, 2, -15, 3, -14, 4, -13, 5, -12, 6, -11, 6, -10, 7, -8, 7, -5, 8, -3, 8, 0, 8, 2, 8, 4, 8, 6, 7, 7, 6, 9, 5, 10, 4, 12, 3, 13, 2, 13, 0, 14, -1, 13, -2, 12, -4, 10, -5, 8, -7,
6, -8, 4, -9, 2, -11, -1, -12, -3, -13, -6, -14, -8, -15, -11, -15, -14, -16, -17, -16, -19, -17, -21, -17, -23, -17, -24, -17, -25, -16, -25, -15, -25, -14, -25, -13, -24, -12, -23, -11, -22, -9, -21, -8, -19, -7, -16, -6, -14, -4, -11, -3, -8, -2, -5, 0, -3, 0, 0, 1, 2, 1, 4, 1,
6, 1, 8, 2, 9, 2, 11, 2, 12, 2, 12, 2, 12, 2, 11, 2, 11, 2, 10, 2, 9, 1, 8, 1, 7, 1, 5, 1, 4, 1, 2, 1, 1, 0, -1, 0, -3, 0, -4, 0, -5, -1, -6, -1, -6, -1, -6, -1, -6, 0, -6, 0, -5, 1, -4, 1, -3, 1, -3, 1, -1, 2, 0, 2,
2, 2, 4, 2, 6, 2, 8, 2, 10, 2, 11, 2, 13, 2, 14, 1, 15, 1, 16, 0, 17, 0, 18, 0, 18, -1, 18, -1, 17, -1, 16, -2, 14, -2, 12, -2, 11, -3, 9, -2, 8, -2, 6, -2, 4, -2, 2, -1, 1, 0, -1, 0, -3, 1, -4, 1, -5, 2, -6, 2, -7, 3, -7, 4,
-7, 5, -6, 6, -6, 7, -5, 9, -4, 10, -3, 11, -2, 11, 0, 12, 1, 13, 4, 13, 6, 14, 8, 14, 10, 14, 12, 14, 14, 14, 15, 13, 16, 12, 17, 11, 18, 11, 19, 10, 19, 9, 19, 8, 19, 7, 18, 6, 16, 5, 14, 5, 13, 4, 11, 3, 9, 2, 7, 1, 5, 0, 3, 0,
1, -1, -1, -1, -4, -2, -6, -2, -8, -2, -10, -3, -11, -3, -12, -3, -13, -3, -13, -2, -13, -2, -13, -1, -12, -1, -12, 0, -11, 0, -11, 1, -10, 1, -8, 2, -7, 2, -4, 3, -2, 4, 0, 5, 1, 5, 3, 5, 4, 5, 5, 5, 7, 5, 8, 4, 9, 4, 10, 4, 11, 4, 11, 3,
10, 3, 9, 3, 8, 2, 6, 2, 5, 1, 4, 1, 2, 0, 0, -1, -2, -1, -4, -2, -6, -2, -8, -3, -11, -4, -13, -5, -15, -5, -16, -6, -18, -7, -19, -7, -19, -8, -20, -8, -20, -8, -20, -8, -20, -8, -20, -9, -20, -9, -19, -10, -18, -10, -16, -10, -14, -10, -12, -10, -10, -10, -9, -10,
-7, -10, -6, -11, -5, -11, -3, -11, -2, -11, 0, -11, 1, -11, 2, -11, 2, -11, 2, -11, 2, -11, 1, -11, 1, -10, 0, -10, -1, -10, -2, -9, -3, -9, -4, -8, -5, -8, -7, -7, -8, -7, -10, -6, -11, -6, -12, -6, -13, -6, -14, -5, -14, -5, -13, -4, -13, -3, -12, -2, -12, -1, -11, -1,
-10, 0, -8, 0, -7, 0, -5, 1, -2, 1, 0, 1, 3, 2, 5, 2, 7, 1, 9, 1, 11, 0, 13, 0, 15, -1, 17, -1, 18, -2, 20, -3, 20, -3, 20, -4, 19, -5, 18, -6, 17, -6, 16, -7, 14, -8, 12, -9, 10, -9, 8, -10, 6, -10, 3, -11, 0, -11, -2, -12, -5, -12, -7, -12,
-10, -12, -12, -12, -13, -12, -14, -12, -15, -11, -15, -10, -15, -9, -15, -9, -15, -8, -15, -7, -14, -6, -12, -5, -11, -4, -8, -3, -5, -1, -3, 0, 0, 1, 2, 2, 5, 3, 7, 3, 9, 4, 12, 4, 14, 5, 17, 6, 19, 6, 20, 7, 21, 7, 21, 7, 21, 8, 20, 8, 19, 8, 19, 8,
17, 8, 16, 8, 14, 8, 12, 7, 10, 7, 8, 7, 5, 6, 3, 6, 1, 5, -1, 5, -3, 4, -5, 4, -6, 4, -6, 4, -7, 4, -7, 4, -7, 4, -7, 4, -7, 3, -7, 3, -6, 3, -4, 3, -3, 2, -1, 2, 1, 2, 3, 2, 4, 1, 6, 1, 7, 0, 8, 0, 10, -1, 11, -1,
12, -2, 13, -2, 13, -2, 12, -3, 11, -3, 10, -4, 9, -4, 7, -4, 5, -5, 4, -5, 2, -5, -1, -4, -3, -4, -5, -4, -8, -4, -10, -3, -12, -3, -14, -3, -16, -3, -17, -3, -18, -2, -19, -2, -19, -1, -19, 0, -19, 1, -18, 2, -18, 2, -17, 3, -16, 3, -14, 3, -12, 4, -9, 4,
-7, 4, -5, 4, -2, 4, 0, 4, 1, 3, 3, 2, 5, 2, 6, 1, 8, 0, 9, 0, 10, -1, 10, -2, 10, -3, 9, -4, 7, -5, 6, -6, 5, -7, 3, -8, 1, -8, 0, -9, -3, -10, -5, -10, -7, -10, -9, -11, -11, -11, -13, -11, -15, -11, -17, -11, -18, -11, -19, -10, -19, -10, -19, -9,
-18, -8, -18, -7, -17, -6, -16, -6, -15, -5, -13, -4, -11, -4, -9, -3, -6, -2, -4, -1, -1, 0, 1, 0, 3, 1, 5, 1, 7, 0, 8, 0, 10, 0, 12, 0, 13, 0, 14, 0, 14, 0, 14, 0, 13, 0, 12, 0, 11, -1, 10, -1, 9, -1, 7, -1, 6, -2, 4, -2, 2, -2, 0, -2,
-1, -2, -3, -2, -5, -3, -6, -3, -8, -3, -8, -3, -9, -3, -9, -3, -9, -2, -9, -2, -9, -2, -8, -2, -8, -2, -7, -2, -6, -2, -4, -2, -3, -1, -1, -1, 1, -1, 3, -1, 5, -1, 6, -1, 7, -1, 8, -2, 10, -2, 11, -2, 12, -2, 13, -2, 13, -1, 13, -1, 13, -1, 12, -1,
11, -1, 10, -1, 9, -1, 8, 0, 7, 1, 5, 1, 4, 2, 3, 3, 1, 4, 0, 5, -1, 5, -2, 6, -3, 7, -3, 8, -3, 8, -3, 9, -2, 11, -2, 12, -1, 13, 0, 13, 1, 14, 2, 14, 4, 15, 5, 15, 7, 15, 9, 15, 11, 15, 13, 15, 15, 15, 16, 14, 17, 13, 18, 12,
19, 11, 20, 10, 20, 9, 21, 9, 21, 8, 20, 7, 19, 6, 18, 5, 16, 4, 14, 3, 12, 2, 10, 1, 8, 0, 6, -1, 4, -2, 1, -2, -1, -3, -4, -3, -6, -4, -8, -4, -11, -5, -13, -5, -14, -5, -16, -5, -16, -5, -17, -5, -17, -4, -17, -4, -17, -3, -17, -3, -16, -3, -16, -3,
-15, -2, -13, -1, -11, -1, -9, 0, -7, 1, -5, 1, -4, 1, -2, 2, -1, 2, 1, 2, 2, 2, 4, 2, 5, 2, 6, 3, 7, 3, 7, 3, 7, 3, 6, 3, 5, 3, 5, 3, 4, 3, 3, 3, 2, 2, 0, 2, -1, 2, -3, 2, -5, 1, -6, 1, -8, 0, -9, 0, -11, -1, -12, -1,
-13, -2, -13, -2, -14, -3, -14, -3, -14, -3, -14, -4, -13, -4, -13, -5, -13, -6, -12, -6, -10, -7, -9, -7, -7, -8, -5, -8, -4, -8, -2, -9, -1, -10, 0, -10, 1, -11, 2, -11, 3, -11, 4, -11, 5, -11, 6, -11, 5, -12, 5, -12, 4, -12, 3, -12, 2, -12, 1, -12, 0, -11, -2, -11,
-3, -11, -5, -10, -6, -10, -8, -9, -10, -9, -12, -9, -13, -9, -15, -9, -16, -8, -16, -8, -17, -7, -17, -7, -16, -6, -16, -5, -15, -5, -15, -4, -14, -4, -12, -4, -11, -4, -9, -3, -6, -3, -4, -2, -1, -2, 1, -2, 3, -2, 5, -3, 7, -3, 9, -3, 11, -3, 13, -3, 15, -4, 16, -4,
16, -4, 17, -4, 16, -5, 16, -5, 15, -5, 14, -6, 12, -6, 11, -6, 10, -6, 8, -6, 6, -6, 4, -7, 1, -7, -1, -7, -3, -7, -5, -7, -7, -7, -8, -7, -9, -6, -10, -6, -10, -5, -10, -5, -10, -4, -10, -4, -10, -3, -9, -3, -8, -2, -7, -2, -4, -1, -2, 0, 0, 1, 3, 2,
5, 2, 7, 3, 9, 3, 11, 4, 14, 4, 16, 4, 18, 5, 20, 5, 21, 6, 22, 6, 22, 6, 21, 6, 20, 6, 20, 6, 18, 6, 17, 6, 15, 6, 14, 5, 11, 5, 9, 5, 7, 5, 4, 4, 1, 4, -1, 3, -3, 2, -6, 2, -8, 1, -9, 1, -10, 1, -11, 1, -12, 1, -12, 1,
-12, 0, -13, 0, -12, -1, -12, -1, -11, -1, -9, -1, -7, -1, -6, -2, -4, -2, -2, -2, -1, -2, 1, -3, 2, -3, 4, -3, 5, -3, 7, -3, 8, -3, 8, -3, 9, -3, 8, -3, 8, -3, 7, -3, 6, -3, 5, -3, 4, -3, 2, -2, 1, -2, -1, -1, -3, 0, -4, 0, -6, 1, -8, 1,
-10, 1, -11, 2, -12, 2, -13, 2, -14, 3, -14, 4, -14, 4, -13, 5, -13, 6, -12, 6, -11, 6, -10, 6, -9, 6, -7, 6, -5, 6, -3, 6, -1, 5, 2, 5, 3, 4, 5, 3, 7, 2, 8, 1, 10, 1, 11, 0, 12, -1, 13, -2, 13, -3, 13, -4, 11, -5, 10, -6, 9, -7, 7, -8,
5, -9, 3, -10, 1, -11, -1, -11, -3, -12, -6, -12, -8, -12, -11, -13, -13, -13, -15, -13, -17, -13, -19, -13, -20, -13, -21, -13, -22, -12, -22, -11, -21, -11, -21, -10, -20, -10, -19, -9, -18, -9, -17, -8, -15, -8, -13, -7, -10, -6, -8, -5, -5, -4, -3, -4, -1, -4, 0, -4, 2, -3, 4, -3,
6, -3, 8, -2, 9, -2, 10, -1, 11, -1, 11, -1, 10, -1, 10, 0, 9, 0, 9, 0, 8, 0, 7, 1, 6, 1, 5, 1, 3, 1, 2, 2, 1, 2, -1, 2, -2, 2, -3, 1, -4, 1, -4, 2, -4, 2, -4, 2, -4, 2, -4, 2, -3, 2, -3, 2, -2, 2, -1, 1, 0, 1, 1, 1,
3, 1, 5, 1, 6, 0, 8, 0, 9, 0, 10, -1, 11, -1, 12, -2, 13, -2, 14, -2, 15, -2, 15, -2, 15, -2, 14, -2, 13, -2, 12, -2, 11, -2, 9, -2, 8, -2, 7, -1, 5, -1, 4, 0, 2, 1, 0, 1, -1, 2, -3, 3, -4, 3, -5, 4, -6, 4, -7, 5, -7, 6, -7, 6,
-7, 7, -6, 8, -6, 9, -5, 9, -4, 10, -3, 10, -2, 10, -1, 10, 1, 10, 3, 10, 5, 10, 6, 10, 8, 10, 10, 9, 11, 9, 12, 8, 13, 7, 14, 7, 15, 6, 16, 6, 16, 6, 16, 5, 15, 5, 14, 4, 12, 4, 11, 3, 10, 3, 8, 2, 7, 2, 5, 1, 3, 1, 1, 1,
-1, 1, -3, 1, -5, 1, -6, 0, -8, 0, -10, 0, -11, 0, -12, 0, -12, 0, -12, 0, -12, 1, -12, 1, -12, 1, -11, 1, -11, 1, -10, 1, -9, 1, -7, 1, -6, 2, -4, 2, -2, 2, 0, 3, 1, 3, 3, 2, 4, 2, 5, 2, 6, 2, 8, 2, 9, 2, 10, 2, 10, 2, 9, 2,
9, 2, 8, 2, 7, 2, 6, 2, 5, 1, 3, 1, 2, 1, 0, 0, -2, 0, -4, 0, -5, -1, -7, -1, -9, -2, -11, -3, -13, -4, -14, -4, -15, -5, -16, -6, -17, -6, -17, -7, -17, -7, -17, -8, -17, -9, -17, -10, -16, -10, -16, -11, -14, -11, -13, -12, -11, -12, -9, -12, -8, -13, -7, -13,
-5, -13, -4, -13, -3, -13, -1, -13, 0, -13, 1, -13, 2, -12, 3, -12, 3, -12, 3, -11, 2, -11, 2, -11, 1, -10, 1, -9, 0, -9, -1, -8, -2, -7, -3, -7, -4, -6, -6, -5, -7, -5, -8, -5, -9, -4, -10, -4, -11, -4, -11, -3, -11, -3, -11, -2, -10, -1, -10, -1, -9, -1, -8, -1,
-7, -1, -6, -1, -4, -1, -2, -1, 0, -1, 2, -1, 5, -1, 7, -1, 9, -1, 10, -2, 12, -2, 14, -3, 16, -3, 17, -3, 18, -4, 19, -4, 19, -4, 18, -5, 17, -5, 16, -5, 15, -6, 14, -6, 12, -7, 10, -7, 8, -7, 6, -8, 4, -8, 1, -8, -1, -8, -4, -8, -6, -9, -8, -9,
-10, -9, -12, -9, -13, -9, -14, -8, -15, -8, -15, -8, -15, -7, -15, -7, -15, -7, -14, -6, -13, -6, -12, -5, -10, -4, -7, -4, -5, -3, -3, -2, 0, -1, 2, -1, 4, 0, 6, 0, 8, 1, 11, 2, 13, 3, 15, 3, 16, 4, 17, 5, 17, 5, 17, 6, 17, 6, 17, 7, 16, 7, 15, 8,
14, 8, 12, 8, 11, 8, 9, 8, 7, 8, 5, 8, 3, 8, 1, 7, -1, 7, -3, 6, -4, 6, -6, 6, -6, 6, -7, 5, -7, 5, -8, 5, -8, 4, -8, 3, -7, 3, -7, 2, -5, 2, -4, 1, -2, 1, -1, 0, 1, 0, 2, -1, 4, -1, 5, -2, 6, -2, 7, -2, 9, -3, 10, -3,
10, -3, 11, -3, 10, -3, 10, -3, 9, -3, 8, -3, 7, -3, 5, -3, 4, -3, 2, -2, 0, -2, -2, -2, -4, -1, -6, -1, -8, -1, -10, -1, -12, -1, -13, 0, -15, 0, -16, 0, -16, 0, -17, 1, -17, 1, -17, 1, -16, 1, -16, 1, -15, 1, -14, 1, -13, 1, -11, 1, -9, 0, -7, 0,
-5, 0, -3, 0, -1, -1, 1, -2, 2, -2, 4, -3, 6, -3, 7, -4, 8, -4, 9, -5, 10, -5, 9, -6, 9, -6, 8, -7, 7, -7, 6, -8, 4, -8, 3, -9, 1, -9, 0, -9, -2, -9, -4, -9, -6, -9, -8, -9, -10, -9, -12, -9, -13, -9, -15, -9, -15, -8, -16, -8, -16, -8, -16, -7,
-15, -7, -15, -6, -14, -6, -13, -6, -12, -6, -10, -5, -9, -5, -6, -4, -4, -4, -2, -3, 0, -3, 2, -3, 4, -3, 5, -3, 7, -3, 9, -2, 10, -2, 12, -2, 13, -1, 13, -1, 14, -1, 13, -1, 13, -1, 12, -1, 11, 0, 10, 0, 9, 0, 7, 0, 6, 0, 4, 0, 3, 0, 1, 0,
-1, 0, -2, 0, -4, 0, -5, -1, -7, -1, -7, -1, -8, -1, -8, -1, -8, -1, -8, -2, -8, -2, -8, -2, -8, -3, -7, -3, -6, -4, -5, -4, -3, -4, -2, -4, 0, -5, 1, -5, 3, -5, 4, -5, 5, -5, 6, -5, 7, -5, 8, -5, 9, -4, 10, -4, 10, -4, 10, -3, 9, -3, 8, -2,
8, -2, 7, -1, 6, 0, 5, 1, 4, 2, 3, 3, 2, 4, 1, 5, 0, 6, -1, 7, -2, 7, -3, 8, -3, 9, -3, 9, -3, 10, -3, 11, -3, 12, -2, 12, -1, 13, -1, 13, 0, 13, 1, 13, 2, 13, 4, 12, 6, 12, 7, 12, 9, 12, 11, 11, 12, 11, 14, 10, 14, 10, 15, 9,
16, 8, 17, 8, 17, 7, 18, 7, 18, 6, 17, 6, 16, 5, 15, 4, 13, 4, 11, 3, 10, 3, 8, 2, 6, 2, 4, 1, 2, 1, 0, 0, -2, 0, -5, 0, -7, -1, -9, -1, -11, -2, -12, -2, -14, -2, -15, -2, -16, -2, -16, -3, -16, -3, -16, -3, -16, -3, -16, -3, -16, -3, -15, -3,
-13, -3, -12, -3, -10, -2, -8, -2, -7, -2, -5, -2, -3, -1, -2, -1, 0, -1, 1, -1, 3, -1, 4, 0, 6, 0, 7, 1, 7, 1, 7, 2, 7, 2, 7, 2, 6, 3, 6, 3, 5, 3, 4, 3, 3, 3, 2, 3, 1, 3, -1, 3, -2, 2, -4, 2, -5, 1, -7, 1, -8, 0, -9, -1,
-10, -1, -11, -2, -11, -2, -11, -3, -11, -4, -11, -5, -11, -6, -11, -6, -10, -7, -9, -8, -8, -9, -7, -9, -5, -10, -4, -10, -2, -11, -1, -11, 0, -11, 1, -12, 2, -12, 3, -12, 4, -11, 5, -11, 6, -11, 6, -11, 6, -10, 6, -10, 5, -10, 4, -9, 3, -9, 2, -9, 1, -8, 0, -7,
-1, -7, -3, -6, -4, -6, -6, -6, -8, -6, -9, -6, -10, -6, -12, -5, -13, -5, -13, -5, -13, -5, -14, -5, -13, -4, -13, -4, -13, -4, -12, -5, -11, -5, -10, -5, -8, -5, -6, -5, -4, -5, -2, -5, 0, -5, 2, -5, 4, -5, 5, -6, 7, -6, 9, -6, 11, -6, 12, -6, 13, -6, 14, -5,
14, -5, 14, -5, 14, -5, 13, -5, 12, -5, 11, -5, 10, -5, 9, -5, 7, -5, 5, -5, 3, -5, 1, -5, -1, -5, -3, -4, -5, -5, -6, -5, -8, -4, -9, -4, -10, -4, -11, -4, -11, -4, -11, -3, -11, -3, -11, -3, -11, -3, -10, -3, -9, -2, -7, -2, -5, -1, -3, 0, -1, 0, 2, 1,
4, 1, 6, 2, 8, 2, 10, 3, 12, 3, 14, 4, 16, 5, 18, 5, 19, 6, 19, 7, 19, 7, 19, 8, 18, 8, 17, 8, 16, 8, 15, 8, 13, 8, 12, 8, 10, 8, 8, 8, 5, 8, 3, 7, 0, 7, -2, 6, -4, 5, -6, 5, -8, 4, -9, 4, -10, 3, -11, 2, -12, 2, -12, 1,
-13, 0, -13, -1, -13, -1, -12, -2, -11, -3, -10, -3, -8, -4, -6, -4, -5, -4, -3, -5, -2, -5, -1, -5, 1, -5, 2, -5, 4, -5, 5, -5, 6, -4, 7, -4, 7, -4, 7, -3, 7, -3, 6, -3, 5, -2, 4, -1, 4, -1, 3, 0, 1, 1, 0, 1, -1, 2, -3, 3, -4, 3, -6, 3,
-7, 4, -8, 4, -10, 4, -10, 4, -11, 5, -11, 5, -11, 5, -10, 5, -10, 5, -9, 5, -8, 4, -7, 4, -6, 4, -5, 3, -3, 3, -1, 2, 1, 2, 3, 1, 5, 1, 6, 0, 8, -1, 9, -2, 10, -2, 11, -3, 12, -3, 13, -4, 13, -4, 12, -5, 12, -5, 10, -6, 9, -6, 7, -7,
6, -7, 4, -8, 2, -8, 0, -9, -2, -9, -4, -9, -6, -9, -9, -9, -11, -10, -13, -10, -15, -10, -16, -10, -17, -10, -18, -10, -18, -10, -19, -10, -18, -10, -18, -10, -18, -10, -17, -10, -16, -9, -14, -9, -13, -9, -11, -8, -8, -8, -6, -7, -4, -7, -2, -7, 0, -6, 1, -6, 3, -6, 5, -5,
7, -5, 8, -4, 10, -3, 11, -2, 11, -2, 11, -1, 11, -1, 11, 0, 10, 1, 10, 1, 9, 1, 8, 2, 7, 2, 6, 3, 4, 3, 3, 3, 2, 3, 0, 3, -1, 3, -2, 3, -3, 2, -4, 2, -4, 2, -5, 2, -5, 2, -5, 1, -5, 1, -4, 0, -4, 0, -3, -1, -3, -1, -1, -2,
0, -2, 1, -2, 3, -3, 4, -3, 5, -3, 6, -3, 7, -3, 8, -3, 9, -3, 10, -3, 11, -3, 11, -2, 11, -2, 11, -1, 10, -1, 9, 0, 8, 0, 7, 1, 6, 2, 5, 2, 4, 3, 3, 4, 2, 5, 0, 5, -1, 6, -2, 7, -3, 7, -4, 7, -5, 8, -6, 8, -6, 8, -6, 9,
-6, 9, -6, 9, -6, 9, -5, 9, -4, 9, -4, 9, -3, 8, -2, 8, 0, 8, 1, 8, 3, 7, 4, 7, 6, 7, 7, 6, 8, 6, 9, 5, 10, 5, 11, 5, 12, 5, 13, 5, 13, 4, 13, 4, 12, 4, 11, 4, 10, 4, 9, 4, 8, 3, 7, 3, 5, 3, 4, 3, 2, 3, 1, 3,
-1, 3, -3, 3, -5, 2, -6, 2, -8, 2, -9, 2, -10, 1, -11, 1, -11, 1, -11, 1, -11, 1, -11, 1, -11, 1, -11, 0, -10, 0, -9, 0, -8, 0, -6, 0, -5, 1, -3, 1, -1, 1, 1, 1, 2, 1, 4, 1, 5, 2, 6, 2, 8, 2, 9, 2, 10, 3, 11, 3, 12, 4, 12, 4,
11, 4, 11, 4, 10, 4, 9, 4, 8, 4, 7, 4, 5, 4, 4, 3, 2, 3, 0, 2, -2, 2, -4, 1, -5, 0, -7, -1, -9, -2, -10, -3, -12, -4, -13, -4, -13, -5, -14, -6, -14, -7, -15, -8, -15, -9, -15, -10, -14, -11, -14, -12, -12, -13, -11, -13, -10, -13, -8, -14, -7, -14, -6, -14,
-4, -14, -3, -14, -2, -14, 0, -13, 1, -13, 2, -12, 3, -12, 4, -11, 4, -10, 4, -9, 4, -9, 4, -8, 3, -7, 3, -6, 2, -6, 2, -5, 1, -4, 0, -3, -1, -3, -3, -2, -4, -2, -5, -2, -6, -1, -7, -1, -7, -1, -8, -1, -8, -1, -8, -1, -8, -1, -7, -1, -7, -1, -6, -1,
-5, -1, -4, -2, -3, -2, -1, -2, 1, -2, 2, -2, 4, -2, 6, -3, 8, -3, 9, -3, 11, -4, 12, -4, 13, -4, 15, -4, 15, -4, 16, -4, 16, -3, 15, -4, 14, -4, 13, -4, 12, -4, 11, -4, 9, -4, 7, -4, 5, -4, 3, -4, 1, -4, -1, -4, -3, -5, -6, -5, -8, -5, -10, -5,
-11, -5, -13, -6, -14, -6, -15, -6, -15, -6, -16, -5, -16, -5, -16, -5, -15, -5, -15, -5, -13, -5, -12, -5, -10, -4, -8, -3, -5, -3, -3, -2, -1, -1, 1, -1, 3, 0, 5, 1, 8, 2, 10, 2, 12, 3, 13, 5, 15, 6, 16, 6, 16, 7, 16, 8, 16, 9, 16, 9, 15, 10, 14, 10,
13, 10, 12, 11, 10, 11, 8, 11, 6, 11, 4, 10, 2, 10, 0, 9, -1, 9, -3, 8, -5, 7, -6, 7, -7, 6, -8, 6, -8, 5, -8, 4, -9, 3, -9, 2, -8, 1, -8, 0, -7, 0, -5, -1, -4, -1, -2, -2, -1, -2, 0, -2, 2, -3, 3, -3, 4, -3, 6, -3, 7, -3, 8, -3,
9, -2, 10, -2, 10, -2, 10, -1, 9, -1, 8, 0, 7, 0, 6, 0, 5, 1, 4, 2, 3, 2, 1, 3, 0, 3, -2, 3, -4, 3, -5, 3, -7, 3, -8, 3, -10, 3, -11, 3, -11, 3, -12, 3, -12, 3, -12, 2, -11, 2, -11, 2, -11, 1, -10, 0, -9, 0, -7, -1, -6, -1, -4, -2,
-2, -2, 0, -3, 1, -3, 3, -4, 4, -4, 6, -5, 7, -5, 8, -5, 9, -5, 10, -5, 10, -5, 10, -6, 9, -6, 9, -6, 8, -6, 6, -6, 5, -7, 4, -7, 2, -7, 1, -7, -1, -7, -3, -6, -4, -6, -6, -6, -8, -7, -10, -7, -11, -7, -12, -7, -13, -7, -13, -7, -13, -6, -13, -6,
-13, -6, -13, -6, -12, -6, -11, -6, -10, -6, -9, -6, -7, -6, -5, -6, -3, -5, -1, -5, 1, -4, 3, -4, 5, -4, 6, -4, 8, -3, 9, -3, 11, -2, 12, -1, 13, -1, 14, 0, 14, 0, 14, 1, 13, 1, 13, 2, 12, 2, 11, 2, 9, 2, 8, 3, 7, 3, 5, 3, 3, 3, 1, 3,
0, 2, -2, 2, -4, 1, -5, 1, -7, 0, -8, 0, -9, -1, -9, -1, -10, -2, -10, -2, -10, -3, -10, -4, -10, -4, -9, -5, -9, -6, -8, -6, -6, -6, -5, -6, -4, -6, -2, -6, -1, -6, 0, -6, 1, -6, 2, -5, 3, -5, 5, -4, 6, -3, 7, -3, 7, -2, 7, -1, 7, 0, 7, 1,
6, 2, 6, 3, 5, 4, 5, 5, 4, 6, 4, 7, 3, 8, 2, 9, 1, 10, 0, 10, -1, 11, -1, 11, -2, 11, -2, 12, -3, 12, -2, 12, -2, 12, -2, 13, -1, 12, -1, 12, 0, 12, 1, 11, 2, 11, 3, 10, 4, 10, 6, 10, 7, 9, 9, 9, 10, 8, 11, 8, 12, 8, 12, 7,
13, 7, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 13, 6, 12, 5, 11, 5, 9, 5, 8, 4, 6, 4, 5, 4, 3, 3, 1, 3, -1, 3, -3, 3, -4, 2, -6, 2, -8, 1, -10, 1, -11, 0, -12, 0, -13, -1, -14, -1, -14, -1, -14, -1, -14, -2, -14, -2, -13, -2, -13, -2, -12, -3,
-10, -3, -9, -2, -7, -2, -5, -2, -3, -1, -1, -1, 0, -1, 2, 0, 4, 0, 5, 1, 7, 1, 8, 2, 10, 3, 11, 3, 11, 4, 11, 4, 11, 5, 11, 5, 11, 6, 10, 6, 9, 6, 8, 6, 7, 6, 6, 5, 4, 5, 3, 5, 1, 4, 0, 3, -2, 3, -4, 2, -5, 1, -6, 0,
-7, -1, -8, -2, -9, -3, -9, -4, -10, -5, -10, -6, -10, -7, -10, -8, -9, -9, -9, -10, -8, -10, -6, -11, -5, -11, -4, -11, -2, -12, -1, -12, 0, -12, 1, -11, 2, -11, 4, -11, 5, -10, 6, -9, 7, -9, 7, -8, 7, -8, 7, -7, 6, -6, 6, -6, 5, -5, 4, -4, 4, -4, 3, -3,
1, -3, 0, -2, -1, -2, -3, -2, -4, -2, -6, -2, -7, -2, -8, -2, -9, -2, -10, -2, -10, -2, -10, -2, -10, -3, -10, -3, -10, -3, -9, -4, -9, -4, -8, -5, -7, -5, -5, -5, -3, -5, -2, -5, 0, -5, 2, -5, 3, -5, 4, -6, 6, -5, 7, -5, 8, -5, 10, -5, 10, -4, 11, -4,
11, -4, 11, -3, 11, -3, 10, -3, 9, -3, 8, -3, 6, -2, 5, -2, 4, -2, 2, -2, 0, -2, -2, -2, -3, -2, -5, -2, -7, -2, -8, -2, -10, -2, -11, -2, -12, -2, -12, -2, -12, -2, -12, -2, -12, -2, -12, -2, -11, -2, -10, -2, -9, -1, -7, -1, -5, 0, -3, 0, -1, 1, 2, 1,
4, 2, 6, 3, 8, 3, 10, 4, 12, 5, 13, 6, 15, 7, 17, 7, 18, 8, 18, 9, 18, 10, 18, 10, 17, 10, 16, 11, 15, 11, 14, 11, 12, 11, 11, 11, 9, 11, 7, 10, 4, 10, 2, 9, 0, 8, -3, 8, -5, 7, -7, 6, -8, 5, -10, 4, -11, 3, -12, 2, -12, 1, -13, 0,
-13, -1, -13, -2, -13, -3, -12, -3, -11, -4, -10, -4, -8, -5, -6, -5, -5, -5, -3, -5, -2, -5, 0, -5, 1, -5, 3, -4, 5, -4, 6, -3, 7, -2, 8, -1, 9, -1, 9, 0, 9, 1, 8, 1, 8, 2, 7, 3, 7, 4, 6, 5, 5, 5, 4, 6, 3, 7, 2, 7, 0, 7, -1, 7,
-2, 7, -3, 7, -4, 7, -5, 6, -5, 6, -6, 6, -6, 6, -5, 5, -5, 5, -5, 4, -4, 3, -3, 2, -2, 2, -1, 1, 1, 0, 2, 0, 4, -1, 5, -1, 7, -2, 8, -2, 9, -3, 10, -3, 11, -4, 12, -4, 12, -4, 13, -4, 12, -5, 12, -5, 11, -5, 10, -5, 8, -6, 7, -6,
5, -6, 4, -6, 2, -6, 0, -6, -2, -7, -4, -7, -6, -7, -8, -7, -10, -7, -12, -8, -13, -8, -14, -8, -15, -8, -16, -8, -16, -9, -16, -9, -16, -9, -15, -9, -15, -9, -14, -9, -12, -9, -11, -9, -9, -8, -7, -8, -5, -7, -3, -7, -1, -6, 1, -6, 3, -5, 4, -5, 6, -4, 7, -3,
9, -2, 10, -1, 11, 0, 12, 0, 12, 1, 12, 2, 12, 3, 11, 3, 10, 4, 10, 4, 9, 4, 7, 5, 6, 5, 5, 5, 3, 5, 2, 5, 0, 4, -2, 4, -3, 3, -5, 3, -6, 2, -7, 2, -7, 1, -8, 1, -8, 0, -8, -1, -8, -1, -8, -2, -8, -3, -7, -4, -6, -4, -5, -4,
-4, -5, -3, -5, -1, -5, 0, -5, 1, -4, 2, -4, 3, -4, 4, -3, 5, -3, 6, -2, 7, -1, 8, 0, 8, 1, 8, 1, 8, 2, 7, 3, 7, 4, 6, 5, 6, 6, 5, 7, 4, 7, 3, 8, 2, 9, 1, 9, 0, 10, -1, 10, -2, 10, -3, 10, -4, 10, -5, 10, -5, 10, -5, 10,
-5, 10, -5, 10, -4, 9, -4, 9, -3, 8, -3, 8, -2, 7, -1, 7, 0, 6, 1, 6, 3, 6, 4, 6, 5, 5, 6, 5, 7, 5, 8, 5, 9, 5, 10, 5, 10, 5, 11, 5, 11, 5, 11, 5, 10, 6, 10, 5, 9, 5, 8, 5, 7, 5, 5, 5, 4, 5, 3, 5, 1, 5, 0, 5,
-2, 5, -3, 5, -4, 4, -6, 4, -7, 3, -8, 3, -8, 3, -9, 2, -9, 2, -9, 2, -9, 1, -8, 1, -8, 1, -7, 0, -6, 0, -5, 0, -4, 0, -2, 1, 0, 1, 2, 1, 4, 1, 5, 2, 7, 2, 8, 2, 10, 3, 11, 3, 13, 4, 14, 4, 15, 5, 15, 5, 16, 6, 15, 6,
15, 6, 14, 6, 13, 6, 12, 6, 10, 6, 9, 5, 7, 5, 6, 5, 4, 4, 2, 3, 0, 2, -2, 1, -4, 0, -6, -1, -8, -2, -9, -3, -10, -4, -11, -5, -12, -7, -13, -8, -13, -9, -13, -10, -13, -11, -13, -12, -13, -13, -12, -13, -11, -14, -9, -14, -8, -14, -7, -14, -5, -13, -4, -13,
-3, -13, -1, -12, 0, -11, 2, -10, 3, -10, 4, -9, 5, -8, 6, -7, 6, -6, 6, -5, 6, -4, 6, -3, 6, -2, 5, -1, 5, 0, 4, 0, 3, 1, 2, 1, 1, 2, -1, 2, -2, 2, -3, 2, -4, 1, -5, 1, -6, 1, -6, 1, -6, 1, -6, 0, -6, 0, -6, 0, -6, -1, -5, -1,
-5, -2, -4, -3, -3, -3, -1, -3, 0, -3, 2, -3, 3, -4, 4, -4, 5, -4, 6, -4, 8, -4, 9, -4, 10, -4, 10, -3, 11, -3, 11, -3, 11, -3, 10, -2, 9, -2, 8, -2, 6, -2, 5, -2, 4, -2, 2, -2, 0, -2, -2, -2, -4, -2, -5, -2, -7, -2, -9, -2, -11, -3, -12, -3,
-14, -3, -15, -3, -15, -3, -16, -4, -16, -4, -16, -4, -15, -4, -15, -4, -14, -4, -13, -3, -11, -3, -9, -2, -7, -2, -5, -1, -2, 0, 0, 0, 2, 1, 4, 2, 6, 3, 8, 4, 10, 5, 12, 6, 14, 7, 15, 8, 16, 9, 16, 10, 17, 11, 16, 11, 16, 12, 15, 12, 14, 13, 13, 13,
12, 13, 10, 13, 8, 12, 6, 12, 4, 12, 2, 11, 0, 10, -2, 9, -3, 8, -5, 7, -6, 6, -7, 5, -8, 5, -9, 4, -9, 3, -9, 2, -9, 1, -9, -1, -8, -1, -7, -2, -6, -3, -5, -3, -3, -3, -1, -3, 0, -3, 2, -3, 3, -3, 5, -3, 6, -2, 8, -2, 9, -1, 10, -1,
11, 0, 12, 1, 12, 1, 12, 2, 11, 3, 11, 3, 10, 4, 10, 4, 9, 5, 8, 6, 6, 6, 5, 6, 3, 6, 2, 6, 0, 6, -1, 6, -3, 5, -4, 5, -5, 4, -6, 4, -6, 4, -6, 3, -6, 2, -6, 2, -6, 1, -6, 0, -6, -1, -5, -2, -4, -2, -3, -3, -1, -3, 0, -4,
2, -4, 3, -4, 4, -5, 5, -5, 6, -5, 7, -5, 8, -5, 9, -5, 10, -5, 10, -5, 10, -5, 9, -5, 8, -5, 7, -5, 6, -5, 5, -5, 4, -5, 2, -4, 1, -4, -1, -4, -2, -4, -4, -4, -5, -4, -7, -4, -8, -5, -9, -5, -10, -5, -11, -5, -12, -5, -12, -6, -12, -6, -11, -6,
-11, -6, -10, -6, -9, -6, -8, -6, -7, -6, -5, -6, -3, -5, -1, -5, 1, -5, 2, -4, 4, -4, 6, -3, 7, -3, 8, -2, 10, -2, 11, -1, 12, 0, 13, 1, 14, 1, 13, 2, 13, 3, 12, 3, 11, 3, 10, 3, 9, 4, 8, 4, 6, 4, 5, 4, 3, 4, 1, 3, -1, 3, -3, 2,
-5, 2, -7, 1, -8, 0, -10, -1, -11, -1, -12, -2, -13, -3, -13, -3, -14, -4, -14, -5, -14, -6, -14, -6, -13, -7, -12, -7, -11, -8, -10, -8, -9, -7, -7, -7, -6, -7, -4, -6, -3, -6, -1, -5, 0, -4, 1, -3, 3, -2, 4, -1, 5, 0, 6, 1, 6, 2, 6, 3, 6, 4, 6, 6,
6, 7, 6, 8, 6, 9, 5, 10, 5, 11, 4, 11, 3, 12, 2, 13, 2, 13, 1, 13, 0, 13, -1, 13, -1, 13, -1, 12, -1, 12, -1, 12, -1, 12, -1, 11, 0, 11, 0, 10, 0, 9, 1, 9, 2, 8, 3, 8, 4, 7, 6, 7, 7, 7, 8, 7, 9, 6, 9, 6, 10, 6, 11, 6,
11, 6, 12, 6, 12, 6, 12, 6, 12, 6, 11, 6, 10, 6, 9, 6, 8, 5, 7, 5, 6, 5, 4, 5, 3, 5, 2, 4, 0, 4, -2, 4, -3, 3, -5, 3, -6, 2, -7, 2, -8, 1, -9, 1, -10, 0, -10, 0, -10, 0, -10, -1, -9, -1, -9, -1, -8, -2, -7, -2, -6, -2, -5, -2,
-3, -2, -1, -1, 0, -1, 2, 0, 4, 0, 6, 1, 7, 1, 9, 2, 10, 2, 12, 3, 13, 4, 14, 4, 15, 5, 15, 6, 15, 6, 15, 7, 14, 7, 14, 7, 13, 7, 12, 7, 10, 7, 9, 6, 7, 6, 6, 5, 4, 5, 2, 4, 0, 3, -2, 2, -3, 1, -5, 0, -6, -2, -7, -3,
-8, -4, -9, -5, -9, -6, -10, -7, -10, -8, -10, -9, -10, -10, -9, -11, -9, -11, -8, -11, -6, -12, -5, -12, -4, -11, -2, -11, -1, -11, 0, -11, 2, -10, 3, -9, 4, -9, 5, -8, 6, -7, 7, -6, 8, -5, 8, -4, 8, -4, 7, -3, 7, -2, 6, -1, 6, -1, 5, 0, 4, 0, 3, 1,
1, 1, 0, 1, -1, 1, -3, 1, -4, 0, -6, 0, -7, -1, -8, -1, -9, -1, -9, -2, -10, -2, -10, -3, -10, -3, -10, -4, -10, -4, -9, -5, -9, -5, -8, -6, -6, -6, -5, -6, -4, -6, -2, -6, -1, -6, 0, -6, 1, -6, 2, -6, 3, -5, 4, -5, 5, -4, 6, -4, 6, -3, 6, -3,
6, -2, 5, -2, 5, -2, 4, -1, 3, -1, 2, -1, 1, 0, 0, 0, -2, 0, -3, 0, -5, 0, -6, 0, -8, 0, -9, 0, -10, 0, -11, 0, -12, 0, -12, 0, -12, 0, -12, 0, -12, -1, -11, -1, -11, -1, -10, -1, -8, 0, -7, 0, -5, 0, -3, 1, -1, 1, 1, 2, 3, 3, 5, 3,
7, 4, 9, 5, 11, 6, 13, 6, 14, 7, 16, 8, 17, 9, 18, 10, 18, 11, 18, 11, 17, 12, 16, 12, 15, 12, 14, 12, 13, 12, 11, 12, 9, 11, 7, 11, 5, 10, 3, 10, 1, 9, -2, 8, -4, 7, -6, 5, -7, 4, -9, 3, -10, 2, -11, 1, -11, 0, -12, -1, -12, -2, -12, -3,
-12, -4, -11, -4, -10, -5, -9, -5, -7, -5, -6, -5, -4, -5, -2, -5, -1, -5, 1, -5, 3, -4, 4, -3, 6, -3, 8, -2, 9, -1, 11, 0, 12, 1, 12, 2, 12, 3, 12, 4, 12, 5, 12, 5, 12, 6, 11, 7, 10, 8, 9, 8, 8, 9, 7, 9, 6, 9, 4, 9, 3, 8, 2, 8,
1, 7, 0, 7, -1, 6, -2, 6, -2, 5, -2, 4, -2, 4, -2, 3, -2, 2, -1, 1, -1, 0, 0, -1, 1, -2, 2, -2, 4, -3, 5, -3, 6, -3, 7, -4, 8, -4, 9, -4, 9, -5, 10, -5, 11, -4, 11, -4, 11, -4, 10, -4, 10, -4, 9, -4, 8, -4, 6, -4, 5, -5, 3, -5,
2, -5, 0, -5, -1, -5, -3, -5, -5, -5, -7, -5, -8, -6, -10, -6, -11, -6, -12, -7, -13, -7, -14, -7, -14, -8, -14, -8, -14, -8, -14, -8, -13, -8, -12, -9, -11, -9, -10, -8, -8, -8, -7, -8, -5, -7, -3, -7, -1, -6, 1, -5, 2, -5, 4, -4, 5, -3, 6, -3, 8, -2, 9, -1,
10, 0, 10, 1, 11, 2, 10, 3, 10, 3, 9, 4, 8, 4, 7, 4, 6, 4, 5, 5, 3, 5, 2, 5, 0, 4, -1, 4, -3, 4, -5, 3, -6, 2, -8, 2, -9, 1, -10, 0, -11, -1, -12, -1, -12, -2, -12, -3, -12, -3, -12, -4, -12, -5, -11, -5, -10, -6, -9, -6, -8, -6, -6, -6,
-5, -5, -3, -5, -2, -4, -1, -4, 1, -3, 2, -2, 3, -1, 5, 0, 6, 1, 7, 2, 7, 3, 8, 4, 8, 5, 8, 6, 7, 6, 7, 7, 7, 8, 6, 9, 5, 10, 5, 10, 4, 11, 3, 11, 2, 11, 1, 11, 0, 11, -1, 11, -2, 10, -3, 10, -3, 10, -4, 9, -4, 9, -4, 8,
-4, 8, -3, 7, -3, 6, -3, 6, -2, 5, -1, 5, 0, 4, 1, 4, 2, 4, 3, 4, 4, 4, 5, 4, 6, 4, 7, 4, 8, 4, 9, 4, 9, 4, 10, 5, 10, 5, 10, 5, 10, 6, 9, 6, 9, 6, 8, 6, 7, 6, 6, 6, 5, 6, 4, 6, 3, 6, 2, 6, 1, 6, 0, 5,
-2, 5, -3, 5, -4, 4, -4, 4, -5, 3, -5, 3, -5, 2, -5, 2, -5, 2, -4, 1, -4, 1, -3, 1, -2, 1, -1, 1, 1, 1, 2, 1, 4, 1, 6, 2, 8, 2, 9, 2, 11, 3, 12, 3, 13, 3, 15, 4, 16, 4, 17, 5, 18, 6, 18, 6, 18, 7, 17, 7, 17, 7, 16, 7,
14, 7, 13, 6, 12, 6, 10, 6, 8, 5, 7, 4, 5, 4, 3, 3, 0, 2, -2, 1, -4, -1, -6, -2, -7, -3, -9, -4, -10, -5, -11, -7, -12, -8, -13, -9, -13, -10, -13, -11, -13, -12, -13, -13, -13, -13, -12, -14, -11, -14, -10, -14, -8, -13, -7, -13, -5, -13, -4, -12, -2, -11, -1, -11,
0, -10, 2, -9, 3, -8, 4, -7, 5, -5, 6, -4, 6, -3, 6, -2, 6, -1, 6, -1, 6, 0, 5, 1, 5, 2, 4, 2, 3, 3, 2, 3, 1, 3, -1, 3, -2, 3, -3, 2, -4, 2, -5, 2, -6, 1, -7, 1, -7, 0, -7, 0, -8, -1, -8, -1, -7, -2, -7, -2, -7, -3, -6, -4,
-5, -4, -4, -4, -3, -4, -2, -4, -1, -4, 0, -4, 1, -4, 2, -4, 3, -4, 4, -4, 5, -3, 6, -3, 6, -2, 6, -2, 6, -2, 5, -1, 5, -1, 4, -1, 3, -1, 2, -1, 0, 0, -1, 0, -2, 0, -4, 0, -5, 0, -7, 0, -8, 0, -10, -1, -11, -1, -12, -1, -13, -2, -14, -2,
-14, -2, -15, -2, -14, -2, -14, -3, -13, -3, -13, -3, -12, -3, -10, -3, -9, -2, -7, -2, -5, -1, -3, -1, -1, 0, 2, 1, 4, 2, 5, 2, 7, 3, 9, 4, 11, 5, 12, 6, 14, 8, 15, 9, 16, 10, 16, 10, 16, 11, 16, 12, 15, 12, 14, 12, 13, 12, 12, 12, 11, 12, 9, 12,
7, 12, 6, 11, 4, 10, 2, 10, 0, 9, -2, 8, -3, 7, -5, 6, -6, 5, -7, 4, -7, 3, -8, 2, -8, 1, -8, 0, -8, -1, -7, -2, -7, -2, -6, -3, -4, -3, -3, -3, -1, -3, 1, -3, 3, -3, 4, -3, 6, -2, 7, -2, 9, -1, 10, 0, 12, 0, 13, 1, 14, 2, 15, 3,
15, 4, 15, 4, 15, 5, 14, 6, 14, 6, 13, 7, 12, 7, 11, 8, 10, 8, 8, 8, 7, 8, 5, 7, 4, 7, 2, 6, 1, 6, -1, 5, -2, 4, -2, 3, -3, 2, -4, 2, -4, 1, -4, 0, -4, -1, -4, -2, -4, -3, -3, -4, -2, -4, -1, -5, 0, -5, 1, -5, 2, -6, 3, -6,
4, -6, 5, -6, 6, -6, 6, -6, 7, -6, 8, -6, 8, -5, 8, -5, 8, -4, 7, -4, 7, -4, 6, -4, 4, -4, 3, -4, 2, -3, 1, -3, 0, -3, -2, -3, -3, -3, -5, -3, -6, -3, -8, -4, -9, -4, -10, -4, -11, -5, -11, -5, -12, -5, -12, -5, -11, -5, -11, -6, -10, -6, -10, -6,
-9, -6, -8, -6, -7, -6, -5, -6, -3, -5, -1, -5, 0, -4, 2, -4, 3, -3, 5, -3, 6, -2, 7, -1, 8, -1, 9, 0, 10, 1, 11, 2, 11, 3, 11, 3, 10, 4, 9, 4, 8, 4, 7, 4, 6, 4, 4, 4, 3, 4, 1, 4, -1, 3, -3, 3, -4, 2, -6, 2, -8, 1, -10, 0,
-11, -1, -13, -2, -14, -3, -15, -4, -15, -4, -16, -5, -16, -6, -16, -7, -16, -7, -15, -8, -15, -8, -14, -8, -12, -8, -11, -8, -9, -8, -8, -7, -6, -6, -5, -6, -3, -5, -2, -4, 0, -3, 1, -2, 3, -1, 4, 1, 5, 2, 6, 3, 6, 4, 7, 5, 7, 6, 7, 7, 6, 8, 6, 9,
6, 10, 6, 11, 5, 11, 4, 12, 4, 12, 3, 12, 2, 12, 1, 12, 1, 12, 0, 11, 0, 11, -1, 11, -1, 10, -1, 10, 0, 9, 0, 9, 0, 8, 1, 8, 1, 7, 2, 7, 3, 6, 4, 6, 5, 6, 6, 5, 7, 5, 8, 5, 9, 5, 10, 5, 11, 5, 11, 5, 12, 6, 12, 6,
13, 6, 13, 6, 12, 7, 12, 7, 11, 7, 10, 7, 9, 6, 8, 6, 7, 6, 6, 6, 4, 6, 3, 6, 2, 5, 0, 5, -1, 4, -2, 4, -3, 3, -4, 2, -5, 2, -6, 1, -6, 1, -6, 0, -6, 0, -6, -1, -5, -1, -5, -1, -4, -2, -3, -2, -2, -2, 0, -1, 1, -1, 3, -1,
5, 0, 6, 0, 8, 1, 9, 1, 11, 2, 12, 2, 13, 3, 14, 3, 15, 4, 16, 5, 16, 6, 16, 6, 16, 6, 15, 7, 14, 7, 13, 7, 12, 6, 11, 6, 9, 6, 8, 5, 6, 5, 4, 4, 2, 3, 1, 2, -1, 1, -3, 0, -5, -1, -6, -2, -7, -3, -8, -4, -9, -5, -10, -6,
-10, -7, -10, -8, -10, -9, -10, -10, -10, -10, -9, -11, -8, -11, -7, -11, -6, -11, -5, -10, -3, -10, -2, -9, -1, -9, 1, -8, 2, -7, 3, -7, 4, -6, 5, -5, 6, -4, 7, -3, 7, -2, 7, -1, 7, 0, 6, 0, 6, 1, 5, 1, 4, 2, 3, 2, 2, 2, 1, 3, 0, 2, -2, 2,
-3, 2, -5, 1, -6, 1, -7, 0, -8, 0, -9, -1, -10, -2, -10, -2, -11, -3, -11, -3, -11, -4, -11, -5, -11, -5, -10, -6, -9, -6, -8, -6, -7, -7, -6, -7, -5, -6, -4, -6, -3, -6, -2, -6, -1, -6, 0, -5, 1, -5, 2, -4, 3, -3, 3, -3, 3, -2, 3, -1, 3, -1, 2, -1,
2, 0, 1, 0, 0, 0, -1, 1, -2, 1, -3, 1, -4, 1, -6, 1, -7, 1, -8, 1, -9, 1, -10, 1, -11, 1, -11, 0, -12, 0, -12, 0, -11, 0, -11, 0, -10, 0, -9, 0, -8, 0, -7, 0, -6, 0, -4, 0, -2, 1, 0, 2, 2, 2, 4, 3, 6, 4, 8, 4, 10, 5, 11, 6,
13, 7, 14, 8, 16, 9, 17, 10, 18, 11, 18, 11, 18, 12, 17, 12, 17, 12, 16, 12, 14, 12, 13, 12, 12, 12, 10, 12, 8, 11, 6, 10, 4, 10, 2, 9, 0, 8, -2, 7, -3, 5, -5, 4, -6, 3, -7, 2, -8, 1, -9, 0, -9, -1, -9, -2, -9, -3, -9, -4, -8, -4, -7, -5,
-6, -5, -5, -5, -3, -5, -1, -5, 0, -5, 2, -4, 4, -4, 5, -3, 7, -2, 8, -1, 10, 0, 11, 0, 12, 1, 13, 2, 14, 3, 14, 4, 14, 5, 14, 6, 14, 7, 13, 7, 13, 8, 12, 8, 11, 9, 10, 9, 8, 9, 7, 9, 6, 8, 4, 8, 3, 7, 2, 6, 1, 6, 0, 5,
0, 4, -1, 3, -1, 3, -1, 2, -1, 1, -1, 0, -1, -1, 0, -2, 1, -2, 1, -3, 2, -3, 4, -3, 5, -4, 6, -4, 6, -4, 7, -4, 8, -4, 8, -4, 9, -4, 9, -3, 10, -3, 10, -3, 9, -3, 9, -3, 8, -2, 6, -2, 5, -2, 4, -2, 2, -2, 1, -3, -1, -3, -2, -3,
-4, -3, -5, -3, -7, -4, -9, -4, -10, -4, -11, -5, -12, -6, -13, -6, -14, -6, -14, -7, -14, -7, -14, -7, -14, -8, -13, -8, -12, -8, -11, -8, -10, -8, -9, -8, -7, -7, -6, -7, -4, -6, -2, -6, -1, -5, 1, -4, 2, -4, 3, -3, 5, -2, 6, -1, 7, 0, 7, 1, 8, 1, 8, 2,
8, 3, 7, 3, 6, 4, 5, 4, 4, 4, 3, 4, 2, 4, 1, 4, -1, 4, -2, 4, -4, 3, -6, 3, -7, 2, -9, 1, -10, 0, -11, 0, -12, -1, -13, -2, -13, -2, -14, -3, -14, -4, -13, -4, -13, -5, -13, -5, -12, -6, -11, -6, -10, -6, -8, -5, -7, -5, -5, -5, -4, -4, -2, -3,
-1, -2, 1, -2, 2, -1, 3, 0, 4, 1, 6, 2, 7, 3, 7, 5, 8, 6, 8, 6, 8, 7, 8, 8, 7, 9, 7, 10, 7, 10, 6, 11, 5, 11, 5, 11, 4, 11, 3, 11, 2, 11, 1, 11, 0, 10, -1, 10, -1, 9, -2, 8, -2, 8, -2, 7, -2, 7, -2, 6, -2, 6, -1, 5,
-1, 4, 0, 4, 1, 4, 1, 3, 3, 3, 4, 3, 5, 3, 6, 3, 7, 3, 8, 4, 9, 4, 9, 4, 10, 4, 11, 5, 11, 5, 12, 6, 12, 6, 11, 6, 11, 6, 10, 7, 9, 7, 8, 7, 7, 7, 6, 7, 5, 7, 4, 6, 3, 6, 2, 6, 1, 6, 0, 5, -1, 5, -2, 4,
-2, 4, -3, 3, -3, 3, -3, 2, -3, 2, -3, 1, -2, 1, -1, 1, -1, 1, 0, 1, 1, 1, 3, 1, 4, 1, 6, 1, 8, 2, 9, 2, 11, 3, 12, 3, 13, 4, 15, 4, 16, 5, 17, 5, 17, 6, 18, 6, 18, 7, 18, 7, 17, 8, 16, 8, 15, 7, 14, 7, 13, 7, 11, 6,
10, 6, 8, 5, 6, 5, 4, 4, 2, 3, 0, 2, -2, 1, -4, -1, -6, -2, -7, -3, -9, -4, -10, -5, -11, -6, -12, -7, -12, -8, -12, -9, -13, -10, -13, -11, -13, -12, -12, -12, -11, -12, -10, -12, -9, -12, -8, -11, -6, -11, -5, -10, -4, -10, -3, -9, -1, -8, 0, -7, 1, -6, 2, -5,
3, -4, 4, -3, 4, -2, 4, -1, 4, 0, 4, 0, 4, 1, 3, 2, 3, 2, 2, 3, 1, 3, 0, 3, -1, 3, -2, 3, -3, 3, -4, 2, -5, 2, -6, 1, -7, 1, -8, 0, -8, 0, -9, -1, -9, -1, -9, -2, -9, -2, -9, -3, -8, -3, -8, -4, -7, -4, -6, -4, -5, -4, -4, -4,
-2, -4, -1, -4, 0, -4, 1, -3, 2, -3, 2, -3, 3, -2, 4, -2, 4, -1, 5, 0, 5, 0, 5, 0, 4, 1, 3, 1, 2, 1, 1, 1, 0, 2, -1, 2, -2, 2, -3, 2, -5, 2, -6, 2, -7, 1, -9, 1, -10, 1, -11, 0, -12, 0, -13, -1, -13, -1, -13, -1, -13, -2, -12, -2,
-12, -2, -11, -2, -10, -2, -9, -2, -8, -2, -6, -2, -4, -1, -2, 0, 0, 0, 2, 1, 4, 2, 6, 2, 7, 3, 9, 4, 11, 5, 12, 6, 14, 7, 15, 8, 16, 9, 16, 10, 16, 11, 16, 11, 16, 12, 15, 12, 14, 12, 13, 12, 12, 12, 10, 12, 9, 12, 7, 11, 6, 10, 4, 10,
2, 9, 1, 8, -1, 7, -2, 6, -3, 5, -4, 4, -5, 3, -5, 2, -5, 1, -5, 0, -5, -1, -5, -1, -4, -2, -3, -2, -2, -3, -1, -3, 1, -2, 2, -2, 4, -2, 6, -1, 7, -1, 8, 0, 10, 0, 11, 1, 13, 2, 14, 3, 15, 4, 15, 4, 16, 5, 16, 6, 15, 7, 15, 7,
14, 8, 14, 8, 13, 8, 12, 9, 11, 9, 9, 9, 8, 8, 6, 8, 5, 7, 4, 6, 2, 6, 1, 5, 0, 4, -1, 3, -2, 2, -2, 1, -2, 1, -3, 0, -3, -1, -3, -2, -2, -3, -2, -4, -1, -4, -1, -5, 0, -5, 1, -5, 2, -5, 3, -5, 4, -5, 5, -5, 5, -5, 6, -5,
7, -4, 7, -4, 7, -4, 7, -3, 7, -3, 6, -2, 6, -2, 5, -2, 3, -2, 2, -2, 1, -2, 0, -2, -2, -2, -3, -2, -4, -2, -6, -2, -7, -2, -9, -3, -10, -3, -11, -4, -12, -4, -13, -5, -13, -5, -13, -5, -13, -6, -13, -6, -12, -6, -11, -6, -11, -6, -10, -6, -8, -6, -7, -6,
-5, -5, -4, -5, -2, -4, 0, -4, 1, -3, 3, -2, 4, -2, 5, -1, 6, 0, 7, 1, 8, 2, 9, 2, 9, 3, 9, 4, 8, 4, 8, 5, 7, 5, 6, 5, 5, 5, 3, 5, 2, 5, 0, 4, -1, 4, -3, 4, -5, 3, -6, 2, -8, 1, -9, 0, -11, -1, -12, -1, -13, -2, -14, -3,
-15, -4, -15, -4, -15, -5, -15, -6, -15, -6, -14, -7, -14, -7, -13, -7, -12, -7, -10, -7, -9, -6, -7, -6, -6, -5, -4, -4, -3, -3, -1, -3, 0, -2, 1, -1, 3, 1, 4, 2, 5, 3, 5, 4, 6, 5, 6, 6, 6, 7, 6, 8, 6, 8, 6, 9, 6, 10, 5, 10, 5, 11, 4, 11,
4, 11, 3, 11, 2, 11, 2, 11, 1, 10, 1, 10, 0, 9, 0, 9, 0, 9, 0, 8, 1, 8, 1, 7, 1, 7, 2, 6, 3, 6, 3, 6, 4, 5, 5, 5, 7, 5, 8, 5, 9, 5, 10, 6, 11, 6, 12, 6, 12, 6, 13, 6, 14, 7, 14, 7, 14, 8, 14, 8, 14, 8, 14, 8,
13, 8, 12, 8, 11, 8, 10, 8, 9, 8, 7, 8, 6, 7, 5, 7, 3, 7, 2, 6, 1, 5, 0, 5, -1, 4, -2, 3, -3, 3, -4, 2, -4, 1, -4, 1, -4, 0, -4, 0, -4, -1, -3, -1, -2, -1, -2, -1, 0, -1, 1, -1, 2, -1, 4, 0, 5, 0, 7, 0, 8, 1, 10, 2,
11, 2, 12, 3, 13, 3, 14, 4, 15, 5, 15, 5, 16, 6, 16, 6, 15, 7, 14, 7, 14, 7, 12, 7, 11, 7, 10, 6, 9, 6, 7, 6, 5, 5, 4, 4, 2, 3, 0, 3, -2, 1, -3, 0, -5, -1, -6, -2, -7, -3, -8, -4, -9, -5, -9, -5, -10, -6, -10, -7, -10, -8, -10, -8,
-10, -9, -9, -9, -8, -9, -7, -9, -6, -9, -5, -8, -4, -8, -3, -7, -2, -7, -1, -6, 0, -5, 1, -5, 2, -4, 3, -3, 4, -2, 4, -1, 4, 0, 4, 0, 4, 1, 4, 2, 3, 2, 2, 2, 2, 3, 1, 3, 0, 3, -1, 3, -3, 3, -4, 2, -5, 2, -6, 1, -7, 1, -8, 0,
-9, -1, -10, -1, -10, -2, -11, -2, -11, -3, -11, -3, -10, -4, -10, -5, -10, -5, -9, -5, -8, -6, -7, -6, -6, -6, -5, -5, -4, -5, -3, -5, -2, -5, -1, -4, 0, -4, 1, -3, 2, -2, 2, -2, 3, -1, 3, 0, 3, 0, 3, 1, 3, 1, 2, 2, 1, 2, 0, 2, -1, 2, -2, 2,
-3, 3, -4, 3, -5, 3, -6, 3, -7, 2, -8, 2, -9, 2, -10, 1, -11, 1, -11, 0, -11, 0, -11, 0, -11, 0, -10, -1, -9, -1, -8, -1, -7, -1, -6, -1, -4, 0, -3, 0, -1, 1, 1, 1, 3, 2, 5, 3, 7, 4, 9, 4, 11, 5, 12, 6, 14, 7, 15, 8, 16, 9, 17, 10,
18, 11, 18, 12, 18, 12, 18, 13, 17, 13, 16, 13, 15, 13, 14, 13, 12, 12, 11, 12, 9, 12, 7, 11, 6, 10, 4, 9, 2, 8, 1, 7, -1, 6, -2, 5, -3, 4, -4, 3, -5, 2, -5, 1, -5, 0, -6, -1, -5, -2, -5, -3, -4, -3, -4, -4, -3, -4, -1, -4, 0, -3, 2, -3,
3, -3, 4, -2, 6, -2, 7, -1, 8, 0, 10, 1, 11, 1, 12, 2, 13, 3, 13, 4, 13, 5, 13, 6, 13, 6, 13, 7, 12, 7, 11, 8, 11, 8, 10, 8, 9, 8, 8, 8, 7, 8, 5, 7, 4, 7, 3, 6, 2, 6, 1, 5, 0, 4, 0, 3, -1, 3, -1, 2, -1, 1, -1, 0,
0, 0, 0, -1, 0, -2, 1, -2, 2, -3, 3, -3, 4, -3, 5, -3, 6, -3, 7, -3, 7, -3, 8, -2, 8, -2, 9, -2, 9, -2, 9, -1, 9, -1, 9, 0, 8, 0, 8, 0, 6, 0, 5, 0, 4, 0, 2, 0, 1, 0, -1, 0, -2, -1, -4, -1, -6, -1, -7, -2, -9, -2, -10, -3,
-12, -4, -13, -4, -14, -5, -14, -6, -15, -6, -15, -7, -15, -7, -15, -7, -14, -8, -14, -8, -13, -8, -12, -8, -11, -8, -9, -8, -8, -7, -6, -7, -4, -6, -3, -5, -1, -5, 0, -4, 1, -3, 3, -2, 4, -1, 5, 0, 5, 1, 6, 2, 6, 2, 6, 3, 6, 4, 5, 4, 5, 4, 4, 5,
3, 5, 2, 5, 1, 5, -1, 4, -2, 4, -3, 4, -5, 3, -6, 3, -8, 2, -9, 1, -10, 0, -11, 0, -12, -1, -12, -2, -12, -2, -12, -3, -12, -3, -12, -4, -12, -4, -11, -5, -10, -5, -9, -5, -8, -4, -7, -4, -5, -4, -4, -3, -2, -2, -1, -2, 0, -1, 1, 0, 3, 1, 4, 2,
5, 3, 6, 4, 6, 5, 7, 6, 7, 7, 7, 7, 7, 8, 7, 9, 6, 9, 6, 10, 6, 10, 5, 10, 4, 10, 4, 10, 3, 10, 2, 10, 2, 9, 1, 9, 0, 8, 0, 8, -1, 7, -1, 7, -1, 6, 0, 6, 0, 6, 0, 5, 1, 5, 1, 4, 2, 4, 3, 4, 4, 3, 5, 4,
6, 4, 7, 4, 8, 4, 9, 4, 10, 5, 11, 5, 12, 6, 12, 6, 13, 6, 13, 7, 14, 7, 14, 8, 13, 8, 13, 8, 12, 8, 11, 8, 10, 8, 9, 8, 8, 8, 7, 8, 6, 8, 5, 7, 3, 7, 2, 6, 1, 6, 0, 5, -1, 4, -2, 4, -2, 3, -3, 3, -3, 2, -3, 2,
-3, 1, -2, 1, -2, 0, -1, 0, 0, 0, 0, 0, 2, 0, 3, 0, 4, 1, 6, 1, 8, 1, 9, 2, 10, 3, 12, 3, 13, 4, 14, 4, 15, 5, 15, 6, 16, 6, 16, 7, 16, 7, 16, 8, 15, 8, 15, 8, 14, 8, 12, 8, 11, 7, 10, 7, 8, 6, 7, 6, 5, 5, 3, 4,
1, 3, 0, 2, -2, 1, -4, 0, -5, -1, -7, -2, -8, -3, -9, -4, -10, -5, -10, -6, -11, -7, -11, -8, -11, -9, -11, -9, -11, -10, -10, -10, -9, -10, -8, -10, -7, -9, -6, -9, -5, -9, -4, -8, -4, -7, -3, -7, -2, -6, -1, -5, 0, -4, 1, -3, 1, -3, 2, -2, 2, -1, 2, 0,
1, 0, 1, 1, 0, 1, 0, 2, -1, 2, -2, 2, -3, 3, -3, 3, -4, 3, -5, 2, -6, 2, -7, 2, -8, 1, -9, 1, -9, 1, -10, 0, -10, 0, -10, 0, -9, -1, -9, -1, -9, -1, -8, -1, -8, -2, -7, -2, -6, -2, -5, -2, -3, -1, -2, -1, -1, -1, 0, 0, 1, 0, 2, 1,
3, 1, 4, 2, 5, 2, 5, 3, 6, 3, 6, 4, 6, 4, 5, 5, 4, 5, 4, 5, 3, 5, 2, 5, 1, 5, 0, 5, -2, 5, -3, 4, -4, 4, -6, 3, -7, 3, -8, 2, -9, 1, -10, 1, -11, 0, -11, -1, -12, -1, -12, -2, -11, -2, -11, -3, -10, -3, -10, -3, -9, -3, -7, -3,
-6, -3, -4, -2, -2, -2, -1, -1, 1, 0, 3, 1, 5, 1, 7, 2, 8, 3, 10, 4, 11, 5, 13, 6, 14, 8, 15, 9, 15, 10, 16, 11, 16, 11, 16, 12, 15, 12, 14, 12, 14, 13, 13, 13, 12, 12, 11, 12, 9, 12, 8, 11, 7, 11, 5, 10, 4, 9, 3, 8, 1, 8, 0, 7,
0, 6, -1, 5, -1, 4, -1, 4, -1, 3, -1, 2, -1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 3, 1, 5, 1, 6, 1, 7, 2, 8, 2, 9, 3, 10, 3, 11, 4, 12, 5, 13, 6, 14, 6, 14, 7, 14, 8, 14, 8, 14, 9, 13, 9, 12, 9, 11, 10, 11, 10, 9, 10, 8, 10,
7, 9, 6, 9, 5, 8, 3, 8, 2, 7, 1, 6, 0, 5, -1, 4, -2, 3, -2, 2, -3, 1, -3, 0, -3, -1, -3, -1, -2, -2, -2, -3, -2, -4, -1, -4, 0, -4, 1, -5, 2, -5, 3, -4, 4, -4, 5, -4, 6, -4, 7, -4, 7, -3, 8, -3, 8, -2, 8, -2, 8, -2, 8, -1,
8, -1, 7, -1, 6, 0, 5, 0, 3, 0, 2, 0, 1, 0, -1, 0, -2, 0, -4, 0, -5, -1, -7, -1, -8, -2, -10, -2, -11, -3, -12, -3, -13, -4, -14, -4, -14, -4, -14, -5, -14, -5, -14, -5, -13, -5, -13, -5, -12, -5, -11, -5, -10, -4, -9, -4, -7, -3, -6, -3, -4, -2, -3, -1,
-1, -1, 0, 0, 1, 1, 2, 2, 3, 3, 4, 3, 5, 4, 6, 5, 6, 6, 6, 6, 6, 7, 5, 7, 4, 7, 4, 7, 3, 7, 2, 7, 1, 6, 0, 6, -1, 5, -2, 5, -4, 4, -5, 3, -6, 2, -7, 1, -8, 0, -9, -1, -10, -2, -10, -2, -10, -3, -10, -4, -10, -5, -10, -5,
-10, -6, -9, -6, -8, -6, -8, -6, -7, -6, -5, -6, -4, -5, -3, -4, -2, -4, -1, -3, 0, -2, 1, -1, 2, 0, 3, 0, 4, 2, 4, 3, 5, 4, 5, 4, 5, 5, 5, 6, 5, 7, 4, 7, 4, 8, 3, 9, 3, 9, 2, 9, 1, 10, 1, 10, 0, 10, 0, 9, -1, 9, -1, 9,
-2, 9, -2, 8, -2, 8, -2, 8, -1, 8, -1, 7, 0, 7, 0, 7, 1, 7, 2, 6, 3, 6, 4, 6, 6, 6, 7, 6, 9, 7, 10, 7, 12, 7, 13, 8, 14, 8, 15, 9, 16, 9, 17, 10, 17, 10, 18, 11, 18, 11, 18, 11, 18, 12, 17, 12, 16, 12, 15, 12, 14, 11, 13, 11,
12, 11, 10, 10, 9, 10, 7, 9, 6, 9, 4, 8, 3, 7, 1, 6, 0, 5, -1, 4, -2, 3, -3, 3, -3, 2, -4, 1, -4, 0, -4, 0, -4, -1, -4, -1, -3, -2, -3, -2, -2, -2, -1, -2, 0, -1, 1, -1, 3, -1, 4, 0, 5, 0, 6, 1, 7, 1, 9, 2, 10, 2, 10, 3,
11, 4, 12, 5, 12, 5, 12, 6, 12, 6, 11, 6, 11, 6, 10, 6, 9, 6, 9, 6, 8, 5, 7, 5, 5, 5, 4, 4, 3, 3, 2, 3, 0, 2, -1, 1, -2, 0, -3, 0, -4, -1, -5, -2, -5, -2, -5, -3, -6, -4, -6, -4, -6, -5, -6, -5, -6, -5, -5, -5, -5, -5, -4, -5,
-3, -4, -2, -4, -2, -3, -1, -3, 0, -2, 0, -1, 1, -1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 3, 1, 3, 1, 4, 0, 4, -1, 5, -2, 5, -2, 5, -3, 5, -4, 5, -6, 5, -7, 4, -8, 4, -9, 3, -10, 3, -11, 2, -11, 1, -12, 0, -12, 0, -13, -1, -13, -2, -13, -2,
-12, -3, -12, -3, -11, -4, -11, -4, -10, -5, -9, -5, -7, -5, -6, -5, -4, -5, -3, -4, -1, -4, 0, -3, 1, -3, 2, -2, 3, -1, 4, -1, 5, 0, 6, 1, 6, 2, 7, 3, 7, 3, 6, 4, 6, 4, 5, 5, 4, 5, 3, 5, 2, 5, 1, 6, 0, 6, -1, 6, -3, 6, -4, 5,
-5, 5, -7, 5, -8, 4, -9, 4, -10, 3, -10, 3, -10, 2, -11, 2, -11, 2, -10, 2, -10, 2, -9, 1, -8, 2, -7, 2, -6, 2, -5, 2, -3, 3, -1, 4, 1, 4, 2, 5, 4, 6, 6, 7, 7, 8, 9, 9, 10, 10, 12, 11, 13, 12, 14, 13, 15, 14, 15, 14, 15, 15, 15, 15,
15, 15, 15, 15, 14, 15, 13, 15, 13, 15, 12, 14, 11, 14, 10, 13, 8, 13, 7, 12, 6, 11, 5, 10, 4, 9, 3, 8, 2, 7, 2, 6, 1, 5, 1, 4, 1, 3, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 3, -1, 4, 0, 5, 0, 6, 0, 7, 0, 8, 1, 9, 1, 9, 2,
10, 2, 10, 3, 11, 4, 11, 4, 11, 5, 11, 6, 11, 6, 10, 7, 10, 7, 9, 7, 8, 8, 7, 8, 6, 8, 5, 8, 4, 8, 3, 7, 1, 7, 0, 6, -1, 6, -1, 5, -2, 4, -3, 3, -3, 3, -3, 2, -3, 2, -3, 1, -3, 1, -3, 0, -2, 0, -1, -1, -1, -1, 0, -1,
1, -1, 3, -1, 4, -1, 6, -1, 7, 0, 8, 0, 9, 0, 10, 1, 10, 1, 11, 2, 11, 3, 12, 3, 12, 4, 12, 4, 11, 5, 10, 5, 9, 5, 8, 5, 6, 5, 5, 5, 3, 4, 2, 4, 0, 4, -2, 3, -4, 3, -5, 2, -7, 1, -9, 0, -10, -1, -12, -2, -13, -3, -14, -4,
-15, -5, -15, -5, -16, -6, -16, -7, -16, -7, -15, -8, -15, -8, -14, -8, -13, -8, -12, -8, -11, -8, -10, -8, -8, -7, -7, -7, -6, -6, -4, -6, -3, -5, -2, -4, -1, -4, 0, -3, 1, -2, 2, -1, 2, 0, 3, 1, 3, 1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 0, 3, -1, 3,
-1, 3, -2, 2, -3, 2, -4, 2, -5, 1, -6, 1, -6, 0, -7, 0, -7, 0, -7, -1, -7, -1, -7, -1, -7, -2, -6, -2, -6, -2, -6, -2, -5, -2, -4, -2, -3, -2, -2, -1, -1, -1, 0, 0, 1, 1, 2, 2, 3, 2, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 6, 8,
6, 8, 5, 9, 5, 9, 4, 10, 4, 10, 3, 10, 2, 10, 2, 10, 1, 10, 0, 10, -1, 9, -1, 9, -2, 8, -2, 7, -3, 7, -3, 6, -3, 5, -3, 5, -3, 4, -2, 4, -2, 3, -1, 3, 0, 2, 0, 2, 1, 2, 3, 2, 4, 2, 5, 2, 7, 2, 9, 2, 10, 3, 12, 3,
13, 4, 14, 4, 15, 5, 16, 5, 16, 6, 17, 7, 17, 7, 17, 8, 17, 8, 17, 9, 16, 9, 15, 9, 14, 9, 13, 9, 12, 9, 11, 9, 9, 9, 8, 8, 7, 8, 5, 7, 4, 7, 2, 6, 1, 5, 0, 5, -1, 4, -2, 3, -3, 3, -3, 2, -3, 1, -3, 1, -3, 1, -3, 0,
-3, 0, -2, 0, -2, 0, -1, 0, 0, 0, 2, 1, 3, 1, 4, 2, 5, 2, 6, 3, 7, 3, 8, 4, 9, 4, 10, 5, 11, 6, 12, 6, 12, 7, 12, 8, 12, 8, 12, 8, 11, 8, 10, 8, 10, 8, 9, 8, 8, 7, 7, 7, 6, 6, 5, 6, 4, 5, 2, 4, 1, 3, 0, 2,
-1, 1, -2, 0, -3, -1, -4, -2, -5, -2, -5, -3, -5, -4, -6, -5, -6, -6, -6, -6, -6, -7, -6, -7, -5, -7, -5, -7, -4, -7, -4, -7, -3, -6, -2, -6, -2, -6, -2, -5, -1, -5, -1, -4, -1, -3, 0, -3, 0, -2, 0, -1, -1, -1, -1, 0, -2, 0, -3, 0, -3, 1, -4, 1,
-5, 1, -6, 1, -7, 1, -8, 1, -9, 1, -10, 0, -11, 0, -11, -1, -12, -1, -12, -2, -13, -2, -13, -2, -13, -3, -12, -3, -12, -3, -11, -4, -11, -4, -10, -4, -9, -4, -8, -4, -7, -4, -5, -3, -4, -3, -2, -2, 0, -2, 1, -1, 2, 0, 3, 1, 5, 2, 5, 3, 6, 3, 7, 4,
8, 5, 8, 6, 8, 7, 8, 7, 8, 8, 7, 8, 6, 8, 5, 9, 4, 9, 3, 9, 2, 8, 1, 8, -1, 8, -2, 8, -3, 7, -5, 6, -6, 5, -7, 5, -8, 4, -9, 3, -10, 2, -10, 1, -10, 1, -10, 0, -10, -1, -10, -1, -9, -1, -9, -2, -8, -2, -7, -2, -5, -2, -4, -1,
-2, -1, -1, 0, 1, 0, 2, 1, 4, 2, 5, 2, 7, 3, 8, 4, 9, 5, 10, 6, 11, 7, 12, 8, 12, 9, 12, 10, 12, 10, 12, 11, 12, 11, 12, 11, 11, 11, 11, 11, 10, 11, 9, 11, 8, 10, 8, 10, 7, 9, 6, 9, 5, 8, 4, 7, 4, 7, 4, 6, 3, 5, 3, 5,
3, 4, 4, 4, 4, 3, 4, 3, 5, 2, 5, 2, 6, 2, 7, 2, 7, 3, 8, 3, 9, 4, 10, 4, 11, 5, 11, 5, 12, 6, 12, 6, 13, 7, 13, 7, 13, 8, 13, 9, 12, 9, 11, 9, 11, 10, 10, 10, 9, 10, 7, 10, 6, 10, 5, 9, 4, 9, 3, 8, 2, 8, 0, 7,
-1, 6, -2, 5, -3, 4, -4, 3, -4, 2, -5, 1, -5, 1, -5, 0, -5, -1, -4, -2, -4, -2, -3, -3, -3, -4, -2, -4, -1, -4, 0, -4, 2, -4, 3, -4, 4, -4, 5, -4, 6, -3, 7, -3, 8, -3, 9, -2, 9, -1, 9, -1, 10, 0, 10, 0, 10, 1, 9, 1, 8, 2, 7, 2,
6, 2, 5, 2, 3, 2, 2, 2, 0, 1, -1, 1, -3, 1, -4, 0, -6, 0, -8, -1, -9, -2, -10, -2, -11, -3, -12, -4, -13, -5, -14, -5, -14, -6, -14, -6, -14, -7, -14, -7, -14, -7, -13, -7, -13, -7, -12, -7, -11, -7, -9, -7, -8, -6, -7, -5, -6, -5, -4, -4, -3, -3, -2, -3,
-1, -2, 0, -1, 1, 0, 2, 1, 2, 2, 2, 3, 3, 3, 2, 4, 2, 4, 2, 4, 1, 5, 1, 5, 0, 5, 0, 5, -1, 4, -2, 4, -2, 4, -3, 3, -4, 3, -5, 2, -5, 1, -6, 1, -7, 0, -7, 0, -7, -1, -7, -2, -7, -2, -6, -3, -6, -3, -6, -4, -5, -4, -5, -4,
-4, -4, -3, -4, -2, -4, -1, -3, 0, -3, 1, -2, 1, -2, 2, -1, 3, -1, 3, 0, 4, 1, 4, 1, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 3, 5, 2, 5, 2, 5, 1, 6, 1, 6, 0, 6, -1, 6, -1, 6, -2, 5, -2, 5, -3, 5, -3, 4, -4, 4, -4, 3, -3, 3,
-3, 3, -3, 3, -2, 2, -1, 2, 0, 2, 1, 2, 2, 2, 3, 2, 4, 2, 6, 3, 7, 3, 9, 4, 10, 4, 12, 5, 13, 6, 15, 6, 16, 7, 17, 8, 17, 9, 18, 10, 19, 10, 19, 11, 19, 12, 19, 12, 18, 12, 18, 12, 17, 12, 16, 12, 14, 12, 13, 12, 12, 11, 10, 11,
9, 10, 7, 10, 6, 9, 4, 8, 3, 7, 2, 6, 0, 5, -1, 4, -2, 3, -2, 2, -3, 1, -3, 0, -4, -1, -4, -1, -4, -2, -3, -2, -3, -3, -3, -3, -2, -3, -1, -3, 0, -3, 1, -3, 2, -2, 3, -2, 4, -2, 5, -1, 6, -1, 7, 0, 7, 0, 8, 1, 9, 2, 9, 2,
9, 3, 9, 3, 9, 4, 8, 4, 8, 4, 7, 4, 7, 4, 6, 4, 5, 4, 4, 3, 3, 3, 2, 2, 1, 2, 0, 1, -1, 0, -1, 0, -2, -1, -3, -2, -3, -2, -4, -3, -4, -3, -4, -4, -4, -4, -4, -5, -4, -5, -4, -5, -3, -6, -3, -5, -2, -5, -2, -5, -1, -5, -1, -4,
0, -4, 0, -3, 0, -2, 1, -2, 1, -1, 1, -1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, -1, 2, -2, 2, -3, 2, -4, 3, -5, 2, -6, 2, -7, 2, -8, 2, -9, 1, -10, 1, -11, 0, -12, -1, -12, -1, -13, -2, -13, -3, -14, -3, -13, -4, -13, -4, -13, -5, -12, -5, -12, -5,
-11, -6, -10, -6, -9, -6, -8, -6, -6, -6, -5, -5, -3, -5, -2, -4, -1, -4, 1, -3, 2, -2, 3, -2, 4, -1, 5, 0, 6, 1, 6, 2, 7, 3, 7, 3, 7, 4, 6, 5, 6, 5, 5, 5, 4, 5, 4, 5, 3, 6, 2, 5, 0, 5, -1, 5, -2, 5, -3, 4, -4, 4, -5, 3,
-6, 2, -7, 2, -8, 1, -8, 0, -9, 0, -9, -1, -9, -1, -8, -1, -8, -2, -7, -2, -7, -2, -6, -2, -5, -2, -4, -1, -2, -1, -1, 0, 1, 1, 2, 1, 4, 2, 5, 3, 6, 4, 7, 5, 9, 6, 10, 7, 11, 8, 12, 9, 12, 10, 12, 11, 12, 12, 12, 12, 12, 13, 12, 13,
12, 13, 11, 13, 11, 13, 10, 13, 9, 12, 9, 12, 8, 11, 7, 10, 6, 10, 5, 9, 5, 8, 4, 7, 4, 6, 4, 5, 4, 5, 4, 4, 4, 3, 4, 2, 4, 2, 5, 1, 5, 1, 6, 0, 6, 0, 7, 0, 8, 1, 8, 1, 9, 1, 10, 1, 10, 2, 10, 2, 11, 2, 11, 3,
11, 3, 11, 4, 11, 4, 10, 5, 9, 5, 9, 5, 8, 5, 7, 6, 6, 6, 5, 6, 4, 5, 3, 5, 1, 5, 0, 4, -1, 4, -2, 3, -2, 2, -3, 2, -4, 1, -4, 0, -5, 0, -5, -1, -4, -1, -4, -2, -4, -2, -3, -3, -3, -3, -2, -3, -1, -3, 0, -3, 1, -3, 3, -3,
4, -3, 5, -2, 6, -2, 7, -1, 8, 0, 9, 0, 10, 1, 10, 1, 10, 2, 11, 3, 11, 3, 11, 4, 10, 4, 9, 5, 8, 5, 7, 5, 6, 5, 4, 4, 3, 4, 1, 4, 0, 3, -2, 3, -4, 2, -5, 1, -7, 0, -8, -1, -9, -2, -11, -3, -12, -4, -13, -5, -13, -5, -14, -6,
-14, -7, -14, -8, -14, -9, -14, -9, -14, -9, -13, -10, -13, -10, -12, -10, -11, -9, -10, -9, -9, -9, -8, -8, -6, -8, -6, -7, -5, -6, -4, -6, -3, -5, -2, -4, -1, -3, -1, -2, 0, -1, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 2, -2, 2, -2, 2, -2, 2, -3, 2, -3, 2,
-4, 1, -4, 1, -5, 1, -5, 0, -6, 0, -6, -1, -6, -1, -6, -2, -6, -2, -5, -2, -5, -3, -4, -3, -4, -3, -3, -3, -3, -3, -2, -3, -1, -3, 0, -2, 1, -2, 2, -1, 3, -1, 3, 0, 4, 0, 4, 1, 5, 2, 5, 2, 6, 3, 6, 4, 6, 4, 6, 5, 5, 6, 5, 6,
4, 6, 3, 7, 3, 7, 2, 7, 1, 7, 1, 7, 0, 7, -1, 6, -2, 6, -2, 6, -3, 5, -3, 4, -4, 4, -4, 3, -4, 3, -4, 2, -3, 2, -3, 2, -2, 1, -1, 1, 0, 1, 1, 1, 2, 1, 3, 1, 4, 1, 6, 1, 7, 2, 9, 2, 10, 3, 11, 3, 13, 4, 14, 4,
15, 5, 15, 6, 16, 6, 17, 7, 17, 8, 17, 8, 17, 9, 17, 9, 16, 9, 15, 9, 14, 9, 13, 9, 12, 9, 11, 9, 10, 8, 9, 8, 7, 7, 6, 7, 5, 6, 3, 5, 2, 4, 1, 3, 0, 2, -1, 2, -1, 1, -2, 0, -2, -1, -2, -1, -2, -2, -2, -2, -2, -3, -2, -3,
-1, -3, -1, -3, 0, -3, 1, -3, 2, -2, 3, -2, 4, -1, 5, -1, 6, 0, 6, 1, 7, 1, 8, 2, 8, 3, 9, 3, 9, 4, 9, 5, 9, 5, 9, 6, 8, 6, 8, 6, 7, 6, 7, 6, 6, 6, 5, 6, 4, 5, 4, 5, 3, 4, 2, 3, 1, 3, 0, 2, -1, 1, -2, 0,
-3, -1, -3, -1, -3, -2, -4, -3, -4, -4, -4, -4, -4, -5, -4, -6, -4, -6, -4, -6, -4, -7, -3, -7, -3, -7, -2, -6, -2, -6, -2, -6, -1, -6, -1, -5, -1, -5, -1, -4, -1, -4, -1, -3, -1, -3, -1, -2, -1, -2, -2, -2, -3, -1, -4, -1, -4, -1, -5, -1, -6, -1, -7, -1,
-8, -1, -9, -1, -10, -1, -10, -2, -11, -2, -12, -3, -12, -3, -13, -4, -13, -4, -13, -5, -13, -5, -13, -5, -12, -5, -12, -6, -11, -6, -10, -6, -9, -6, -8, -6, -7, -5, -6, -5, -4, -4, -3, -4, -1, -3, 0, -2, 1, -1, 2, -1, 3, 0, 4, 1, 5, 2, 6, 3, 7, 4, 7, 5,
8, 6, 8, 6, 7, 7, 7, 7, 6, 7, 5, 7, 5, 7, 4, 7, 3, 7, 2, 7, 0, 7, -1, 6, -2, 5, -3, 5, -4, 4, -5, 3, -6, 2, -7, 1, -7, 0, -8, 0, -8, -1, -8, -2, -8, -2, -8, -3, -8, -3, -7, -4, -7, -4, -6, -4, -5, -3, -4, -3, -2, -3, -1, -2,
0, -2, 1, -1, 3, 0, 4, 1, 5, 2, 6, 2, 7, 4, 8, 5, 9, 6, 9, 7, 10, 8, 10, 8, 10, 9, 10, 9, 10, 10, 10, 10, 10, 10, 9, 10, 9, 10, 9, 10, 8, 10, 7, 10, 7, 9, 6, 8, 6, 8, 5, 7, 5, 7, 5, 6, 5, 5, 5, 5, 5, 4, 5, 3,
6, 3, 6, 2, 6, 2, 7, 2, 7, 1, 8, 1, 8, 1, 9, 2, 10, 2, 10, 2, 11, 3, 11, 3, 11, 3, 12, 4, 12, 4, 12, 5, 12, 5, 11, 6, 11, 6, 10, 7, 10, 7, 9, 7, 8, 7, 6, 7, 5, 7, 4, 7, 3, 6, 2, 6, 1, 5, 0, 5, -1, 4, -2, 3,
-3, 2, -3, 2, -4, 1, -4, 0, -5, -1, -5, -1, -4, -2, -4, -2, -4, -3, -3, -3, -3, -4, -2, -4, -1, -4, 0, -4, 1, -4, 2, -4, 3, -4, 4, -3, 5, -3, 6, -2, 7, -2, 7, -1, 8, 0, 8, 0, 8, 1, 8, 1, 8, 2, 8, 2, 7, 3, 7, 3, 6, 3, 4, 3,
3, 2, 2, 2, 1, 2, -1, 2, -2, 1, -3, 1, -5, 0, -6, -1, -7, -2, -9, -3, -10, -4, -11, -4, -11, -5, -12, -6, -12, -7, -13, -8, -13, -8, -13, -9, -13, -9, -12, -9, -12, -9, -11, -9, -11, -9, -10, -9, -9, -8, -8, -8, -7, -7, -6, -7, -5, -6, -4, -5, -3, -4, -2, -4,
-2, -3, -1, -2, -1, -1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 3, -1, 3, -1, 3, -1, 3, -2, 4, -2, 4, -2, 3, -3, 3, -3, 3, -4, 2, -4, 2, -5, 1, -5, 1, -6, 0, -6, 0, -6, -1, -6, -1, -5, -2, -5, -2, -5, -3, -4, -3, -4, -4, -3, -4, -3, -4, -2, -4,
-1, -4, 0, -4, 0, -3, 1, -3, 2, -2, 2, -2, 3, -1, 3, -1, 3, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 3, 3, 3, 3, 3, 2, 4, 2, 4, 1, 4, 0, 4, 0, 4, -1, 4, -1, 4, -2, 4, -2, 4, -3, 3, -3, 3, -3, 3, -3, 2, -3, 2, -3, 2, -3, 2,
-2, 1, -1, 1, -1, 1, 0, 1, 1, 1, 2, 1, 3, 1, 5, 2, 6, 2, 8, 3, 9, 3, 11, 4, 12, 5, 13, 5, 14, 6, 15, 7, 16, 7, 16, 8, 17, 9, 17, 10, 18, 10, 18, 11, 17, 11, 17, 11, 16, 11, 15, 11, 14, 11, 13, 11, 12, 10, 11, 10, 10, 9, 8, 9,
7, 8, 6, 7, 5, 6, 3, 5, 2, 4, 1, 3, 0, 2, -1, 1, -1, 0, -2, -1, -2, -2, -2, -2, -2, -3, -2, -3, -2, -4, -2, -4, -2, -4, -1, -4, 0, -4, 0, -4, 1, -4, 2, -3, 3, -3, 4, -2, 4, -2, 5, -1, 5, -1, 6, 0, 6, 1, 7, 2, 7, 3, 7, 3,
7, 4, 7, 4, 6, 4, 6, 4, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 2, 4, 2, 3, 1, 3, 0, 2, -1, 1, -1, 1, -2, 0, -2, -1, -3, -2, -3, -2, -3, -3, -3, -4, -3, -4, -3, -5, -3, -5, -3, -5, -3, -6, -2, -6, -2, -6, -2, -5, -1, -5, -1, -5, 0, -5,
0, -4, 0, -4, 0, -3, 0, -3, 0, -2, 0, -2, 0, -1, -1, -1, -1, 0, -2, 0, -3, 0, -3, 0, -4, 0, -5, 0, -6, 0, -7, 0, -8, 0, -9, 0, -9, -1, -10, -1, -11, -2, -11, -2, -12, -3, -12, -3, -13, -4, -13, -4, -13, -5, -12, -5, -12, -5, -11, -6, -11, -6, -10, -6,
-9, -6, -8, -6, -7, -6, -6, -6, -5, -5, -3, -5, -2, -4, -1, -3, 0, -2, 1, -2, 2, -1, 3, 0, 4, 1, 4, 2, 5, 2, 5, 3, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 3, 5, 2, 5, 1, 5, 0, 5, -1, 5, -1, 4, -2, 4, -3, 3, -4, 2, -5, 1,
-6, 1, -6, 0, -7, -1, -7, -1, -7, -2, -7, -2, -7, -3, -6, -3, -6, -3, -5, -3, -5, -3, -4, -3, -3, -3, -2, -2, -1, -2, 1, -1, 2, 0, 3, 0, 4, 1, 5, 2, 6, 3, 7, 4, 8, 5, 9, 6, 9, 8, 10, 9, 10, 10, 10, 10, 11, 11, 10, 11, 10, 12, 10, 12,
10, 12, 10, 12, 9, 12, 9, 11, 8, 11, 8, 11, 7, 10, 7, 9, 6, 8, 6, 8, 5, 7, 5, 6, 5, 5, 5, 4, 5, 4, 5, 3, 5, 2, 5, 1, 6, 1, 6, 1, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 1, 9, 1, 9, 1, 9, 1, 9, 2, 10, 2, 10, 3,
9, 3, 9, 3, 9, 4, 8, 4, 7, 5, 7, 5, 6, 5, 5, 5, 4, 5, 3, 5, 2, 5, 1, 4, 1, 4, 0, 3, -1, 3, -2, 2, -2, 2, -3, 1, -3, 0, -3, 0, -3, -1, -3, -1, -3, -1, -3, -2, -2, -2, -2, -2, -1, -3, 0, -3, 0, -3, 1, -3, 2, -3, 3, -2,
4, -2, 5, -1, 6, -1, 7, 0, 7, 1, 8, 1, 8, 2, 8, 2, 9, 3, 9, 3, 8, 4, 8, 4, 7, 4, 6, 5, 5, 4, 4, 4, 3, 4, 2, 4, 1, 3, -1, 3, -2, 2, -3, 1, -5, 1, -6, 0, -7, -1, -8, -2, -9, -3, -10, -4, -11, -5, -12, -6, -12, -7, -12, -8,
-13, -9, -13, -9, -13, -10, -12, -10, -12, -10, -12, -10, -11, -10, -10, -10, -9, -10, -9, -9, -8, -9, -7, -8, -6, -7, -5, -7, -5, -6, -4, -5, -3, -4, -3, -3, -2, -2, -2, -1, -2, 0, -2, 0, -2, 1, -2, 1, -2, 2, -2, 2, -2, 2, -2, 3, -3, 3, -3, 3, -3, 3, -4, 2,
-4, 2, -4, 2, -5, 1, -5, 1, -5, 0, -5, 0, -5, -1, -5, -1, -4, -2, -4, -2, -4, -3, -3, -3, -3, -3, -2, -3, -2, -3, -1, -3, 0, -3, 0, -3, 1, -2, 2, -2, 2, -1, 3, -1, 3, 0, 3, 0, 4, 1, 4, 1, 4, 2, 4, 3, 4, 3, 4, 4, 3, 4, 3, 5,
2, 5, 2, 5, 1, 5, 1, 5, 0, 5, 0, 5, -1, 5, -1, 5, -2, 5, -2, 4, -2, 4, -2, 3, -2, 3, -2, 3, -2, 2, -2, 2, -2, 2, -1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 1, 4, 1, 6, 1, 7, 2, 8, 2, 9, 3, 11, 3, 12, 4, 12, 5, 13, 5,
14, 6, 14, 7, 15, 7, 15, 8, 15, 8, 15, 9, 15, 9, 15, 9, 14, 9, 13, 9, 12, 9, 11, 9, 10, 9, 9, 8, 8, 8, 7, 7, 6, 7, 5, 6, 4, 5, 3, 4, 2, 3, 2, 3, 1, 2, 0, 1, 0, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -3, -1, -3, 0, -3,
0, -3, 0, -3, 1, -3, 2, -3, 3, -2, 3, -2, 4, -1, 5, -1, 5, 0, 6, 1, 6, 1, 7, 2, 7, 3, 7, 4, 8, 5, 8, 5, 8, 6, 7, 6, 7, 6, 6, 7, 6, 7, 6, 7, 5, 6, 4, 6, 4, 6, 3, 5, 2, 5, 1, 4, 1, 3, 0, 2, -1, 2, -1, 1,
-2, 0, -2, -1, -3, -2, -3, -3, -3, -4, -3, -4, -3, -5, -4, -6, -4, -6, -4, -6, -4, -7, -3, -7, -3, -7, -3, -7, -3, -7, -2, -6, -2, -6, -2, -6, -2, -5, -2, -5, -2, -5, -2, -4, -2, -3, -3, -3, -3, -2, -4, -2, -4, -2, -5, -1, -5, -1, -6, -1, -7, -1, -7, -1,
-8, -1, -8, -1, -9, -1, -10, -2, -10, -2, -10, -2, -11, -3, -11, -3, -11, -3, -11, -4, -11, -4, -11, -4, -10, -4, -10, -5, -9, -5, -8, -5, -7, -5, -7, -5, -6, -4, -5, -4, -4, -4, -2, -3, -1, -2, 0, -2, 1, -1, 2, 0, 2, 1, 3, 1, 4, 2, 4, 3, 5, 4, 5, 4,
5, 5, 5, 6, 5, 6, 5, 6, 4, 6, 3, 6, 3, 6, 2, 6, 1, 6, 0, 6, 0, 5, -1, 5, -2, 4, -3, 3, -4, 3, -4, 2, -5, 1, -6, 0, -6, -1, -7, -2, -7, -2, -7, -3, -7, -3, -6, -4, -6, -4, -6, -4, -5, -4, -4, -4, -4, -4, -3, -4, -2, -3, -1, -3,
1, -2, 2, -1, 3, 0, 3, 0, 4, 1, 5, 2, 6, 3, 7, 5, 8, 6, 8, 7, 9, 8, 9, 9, 9, 9, 9, 10, 9, 10, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 8, 11, 8, 10, 7, 10, 7, 9, 7, 9, 6, 8, 6, 7, 6, 6, 6, 6, 6, 5, 6, 4, 6, 3,
6, 3, 6, 2, 6, 2, 6, 1, 7, 1, 7, 1, 7, 1, 8, 1, 8, 1, 9, 1, 9, 2, 9, 2, 9, 2, 9, 3, 9, 3, 9, 4, 9, 4, 9, 5, 9, 5, 8, 5, 8, 6, 7, 6, 6, 6, 5, 6, 5, 6, 4, 6, 3, 6, 2, 6, 2, 5, 1, 5, 0, 4, 0, 4,
-1, 3, -1, 2, -2, 2, -2, 1, -2, 0, -2, 0, -2, -1, -2, -1, -2, -2, -1, -2, -1, -2, 0, -3, 0, -3, 1, -3, 2, -3, 2, -3, 3, -3, 4, -2, 4, -2, 5, -1, 5, -1, 6, 0, 6, 0, 6, 1, 6, 1, 6, 1, 6, 2, 6, 2, 5, 3, 4, 3, 4, 3, 3, 3,
2, 3, 1, 2, -1, 2, -2, 2, -3, 1, -4, 1, -5, 0, -6, -1, -7, -2, -8, -2, -9, -3, -9, -4, -10, -5, -11, -6, -11, -7, -11, -7, -11, -8, -11, -8, -11, -9, -11, -9, -11, -9, -10, -9, -10, -9, -9, -9, -8, -8, -7, -8, -7, -7, -6, -7, -5, -6, -4, -5, -4, -4, -3, -3,
-3, -2, -2, -1, -2, 0, -1, 1, -1, 1, -1, 2, -1, 3, -1, 3, -1, 4, -1, 4, -2, 4, -2, 4, -2, 4, -2, 4, -3, 4, -3, 4, -3, 3, -4, 3, -4, 2, -4, 2, -5, 1, -5, 0, -5, 0, -5, -1, -5, -2, -5, -2, -4, -3, -4, -4, -4, -4, -3, -4, -3, -5, -3, -5,
-2, -5, -2, -5, -1, -4, -1, -4, 0, -4, 0, -3, 1, -3, 1, -2, 1, -2, 1, -1, 2, -1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 3, 1, 3, 0, 4, 0, 4, 0, 4, 0, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 3, -1, 3, -1, 3, 0, 3,
0, 3, 1, 2, 1, 2, 2, 2, 3, 2, 4, 2, 5, 2, 6, 2, 7, 3, 8, 3, 9, 3, 10, 4, 11, 5, 12, 5, 12, 6, 13, 7, 13, 7, 14, 8, 14, 8, 14, 9, 14, 9, 14, 10, 14, 10, 14, 10, 13, 11, 13, 10, 12, 10, 11, 10, 10, 10, 9, 9, 8, 9, 7, 8,
7, 8, 6, 7, 5, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 1, 0, 0, 0, -1, -1, -1, -1, -2, -1, -3, -1, -3, -1, -4, -1, -4, 0, -4, 0, -4, 1, -4, 1, -4, 2, -4, 2, -3, 3, -3, 4, -2, 4, -1, 5, -1, 5, 0, 5, 1, 6, 1, 6, 2, 6, 3, 7, 4,
7, 4, 6, 5, 6, 5, 6, 6, 6, 6, 5, 6, 5, 6, 4, 6, 4, 6, 3, 5, 3, 5, 2, 4, 1, 4, 1, 3, 0, 2, -1, 1, -1, 0, -1, 0, -2, -1, -2, -2, -2, -3, -3, -3, -3, -4, -3, -5, -3, -5, -3, -5, -3, -6, -3, -6, -3, -6, -3, -6, -3, -6, -2, -5,
-2, -5, -2, -5, -2, -4, -2, -4, -2, -3, -2, -3, -3, -2, -3, -2, -3, -1, -3, -1, -4, 0, -4, 0, -5, 0, -5, 0, -6, 0, -6, 0, -7, 0, -7, 0, -7, 0, -8, 0, -8, -1, -9, -1, -9, -1, -9, -2, -9, -2, -10, -3, -10, -3, -9, -4, -9, -4, -9, -4, -8, -5, -8, -5,
-7, -5, -7, -5, -6, -5, -5, -5, -5, -5, -4, -4, -3, -4, -2, -3, -1, -3, -1, -2, 0, -2, 1, -1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 1, 4, 1, 4, 0, 4, 0, 4, -1, 4, -1, 4, -2, 3, -2, 3, -3, 3, -3, 2, -4, 1,
-4, 1, -5, 0, -5, -1, -5, -1, -5, -2, -5, -2, -5, -3, -5, -3, -5, -3, -4, -3, -4, -3, -3, -3, -2, -3, -1, -3, -1, -2, 0, -1, 1, -1, 2, 0, 3, 1, 4, 2, 5, 3, 6, 4, 6, 5, 7, 6, 8, 7, 9, 8, 9, 9, 9, 10, 10, 11, 10, 11, 10, 12, 10, 12,
10, 12, 9, 12, 9, 12, 9, 12, 9, 12, 8, 11, 8, 11, 7, 10, 7, 9, 7, 8, 6, 7, 6, 6, 6, 6, 5, 5, 5, 4, 5, 3, 5, 2, 5, 1, 5, 1, 5, 0, 5, 0, 5, -1, 5, -1, 6, -1, 6, -1, 6, -1, 7, -1, 7, 0, 7, 0, 7, 0, 7, 1, 7, 1,
7, 2, 7, 2, 7, 3, 7, 3, 6, 4, 6, 4, 5, 5, 5, 5, 4, 5, 4, 5, 3, 5, 3, 5, 3, 5, 2, 5, 2, 4, 1, 4, 1, 4, 1, 3, 0, 3, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, -1, 1, -1, 2, -1, 2, -1, 2, -1, 3, -1, 3, -1,
4, -1, 4, -1, 5, 0, 5, 0, 5, 1, 6, 1, 6, 1, 6, 2, 5, 2, 5, 3, 5, 3, 5, 3, 4, 4, 4, 4, 3, 4, 2, 4, 1, 4, 0, 3, -1, 3, -2, 2, -3, 2, -3, 1, -4, 1, -5, 0, -6, -1, -7, -2, -8, -3, -9, -4, -9, -5, -10, -5, -10, -6, -10, -7,
-11, -8, -11, -8, -10, -9, -10, -9, -10, -9, -10, -10, -9, -10, -9, -9, -8, -9, -8, -9, -7, -8, -6, -8, -6, -7, -5, -6, -5, -6, -4, -5, -4, -4, -3, -3, -3, -2, -2, -1, -2, 0, -2, 1, -2, 1, -2, 2, -2, 2, -2, 3, -2, 3, -2, 3, -2, 3, -3, 3, -3, 3, -3, 3,
-3, 3, -4, 2, -4, 2, -4, 1, -4, 1, -4, 0, -4, 0, -4, -1, -4, -2, -4, -2, -4, -3, -4, -3, -4, -4, -3, -4, -3, -4, -3, -4, -2, -4, -2, -4, -1, -4, -1, -3, 0, -3, 0, -2, 0, -2, 1, -1, 1, -1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 3, 2, 3, 2, 4,
2, 4, 1, 5, 1, 5, 1, 5, 1, 6, 1, 6, 1, 6, 1, 6, 0, 6, 0, 5, 0, 5, 0, 5, 0, 5, 0, 4, 1, 4, 1, 3, 1, 3, 2, 3, 2, 3, 3, 2, 3, 2, 4, 2, 5, 2, 5, 2, 6, 2, 7, 2, 7, 2, 8, 2, 9, 3, 9, 3, 10, 4, 10, 4,
11, 5, 11, 5, 11, 6, 11, 6, 12, 6, 12, 7, 11, 7, 11, 8, 11, 8, 10, 8, 10, 8, 9, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 5, 6, 5, 5, 4, 4, 3, 4, 3, 3, 2, 2, 2, 1, 2, 1, 1, 0, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 2, -2,
2, -2, 2, -2, 2, -2, 3, -2, 3, -2, 4, -1, 5, -1, 5, 0, 5, 1, 6, 1, 6, 2, 6, 3, 7, 3, 7, 4, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 6, 7, 6, 7, 5, 7, 5, 7, 4, 7, 4, 7, 3, 6, 3, 6, 2, 5, 1, 4, 1, 3, 0, 3, -1, 2,
-1, 1, -2, 0, -2, -1, -3, -2, -3, -3, -3, -4, -4, -5, -4, -6, -4, -6, -4, -7, -4, -7, -5, -7, -5, -8, -4, -8, -4, -8, -4, -7, -4, -7, -4, -7, -4, -6, -4, -6, -4, -6, -4, -5, -4, -4, -4, -4, -4, -3, -4, -3, -4, -2, -5, -2, -5, -1, -5, -1, -6, -1, -6, 0,
-6, 0, -6, 0, -6, 0, -7, 0, -7, 0, -7, -1, -7, -1, -7, -1, -7, -2, -7, -2, -7, -2, -7, -3, -7, -3, -7, -3, -6, -3, -6, -4, -6, -4, -5, -4, -5, -4, -4, -4, -4, -4, -3, -3, -3, -3, -2, -2, -2, -2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2,
1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 0, 5, 0, 5, -1, 5, -1, 4, -1, 4, -2, 4, -2, 4, -2, 3, -3, 3, -3, 2, -4, 1, -4, 1, -4, 0, -4, -1, -5, -1, -5, -2, -5, -2, -4, -3, -4, -3, -4, -3, -3, -4, -3, -4, -3, -4, -2, -4, -1, -3, -1, -3, 0, -2,
1, -2, 2, -1, 3, 0, 3, 1, 4, 1, 5, 2, 5, 3, 6, 4, 7, 5, 7, 6, 8, 7, 8, 8, 8, 9, 9, 9, 9, 10, 9, 10, 9, 10, 8, 11, 8, 11, 8, 10, 8, 10, 8, 10, 7, 9, 7, 9, 7, 8, 7, 7, 6, 7, 6, 6, 6, 5, 6, 4, 6, 4, 5, 3,
5, 2, 5, 1, 5, 1, 5, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 0, 6, 0, 7, 0, 7, 1, 7, 1, 7, 1, 7, 2, 7, 2, 7, 3, 7, 4, 7, 4, 7, 5, 7, 5, 6, 6, 6, 6, 6, 6, 5, 7, 5, 7, 5, 7, 4, 7, 4, 6, 4, 6, 3, 6, 3, 5,
3, 5, 2, 4, 2, 4, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, -1, 2, -1, 2, -1, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 3, -2, 3, -2, 3, -2, 3, -2, 3, -1, 3, -1, 3, -1, 3, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1,
-1, 1, -2, 1, -2, 1, -3, 1, -3, 0, -4, 0, -5, -1, -5, -1, -6, -2, -6, -2, -7, -3, -7, -4, -8, -5, -8, -5, -8, -6, -8, -6, -8, -7, -8, -7, -8, -8, -8, -8, -8, -8, -7, -8, -7, -8, -7, -8, -6, -7, -6, -7, -5, -6, -5, -6, -4, -5, -4, -4, -3, -4, -3, -3,
-3, -2, -3, -1, -2, 0, -2, 1, -2, 1, -2, 2, -2, 3, -2, 3, -2, 4, -2, 4, -2, 4, -2, 4, -3, 4, -3, 4, -3, 4, -3, 3, -4, 3, -4, 2, -4, 2, -4, 1, -5, 0, -5, 0, -5, -1, -5, -2, -5, -3, -5, -3, -5, -4, -5, -4, -5, -5, -4, -5, -4, -6, -4, -6,
-4, -6, -3, -6, -3, -6, -3, -5, -2, -5, -2, -4, -1, -4, -1, -3, -1, -3, 0, -2, 0, -1, 0, -1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 4, 3, 4, 3, 4,
3, 4, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 2, 7, 2, 7, 3, 7, 3, 8, 3, 8, 3, 9, 4, 9, 4, 9, 5, 10, 5, 10, 6, 10, 6, 10, 7, 10, 7, 10, 7, 10, 8, 10, 8, 9, 8, 9, 8, 8, 8, 8, 8, 7, 8, 7, 8, 7, 7, 6, 7,
6, 7, 5, 6, 5, 5, 4, 5, 4, 4, 4, 3, 3, 2, 3, 2, 3, 1, 2, 0, 2, 0, 2, -1, 2, -1, 2, -2, 2, -2, 3, -2, 3, -3, 3, -3, 3, -3, 3, -2, 4, -2, 4, -2, 4, -1, 5, -1, 5, 0, 5, 0, 5, 1, 5, 2, 5, 2, 6, 3, 6, 4, 6, 4,
6, 5, 6, 5, 5, 6, 5, 6, 5, 6, 4, 6, 4, 6, 3, 6, 3, 5, 3, 5, 2, 4, 2, 4, 1, 3, 1, 2, 0, 2, -1, 1, -1, 0, -2, -1, -2, -2, -2, -3, -3, -4, -3, -4, -3, -5, -3, -5, -4, -6, -4, -6, -4, -7, -4, -7, -4, -7, -4, -7, -4, -7, -4, -6,
-4, -6, -4, -5, -4, -5, -4, -5, -4, -4, -4, -3, -4, -3, -4, -2, -4, -1, -4, -1, -4, 0, -4, 0, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -5, 1, -5, 1, -5, 1, -5, 1, -5, 0, -5, 0, -6, -1, -6, -1, -6, -1, -6, -2, -6, -2, -6, -3, -6, -3, -6, -4, -6, -4,
-6, -4, -6, -5, -5, -5, -5, -5, -5, -5, -5, -5, -4, -5, -4, -4, -4, -4, -3, -3, -3, -3, -3, -2, -3, -2, -3, -1, -2, -1, -2, 0, -2, 0, -2, 1, -2, 1, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 1, -3, 1,
-3, 0, -3, 0, -3, -1, -3, -1, -2, -2, -2, -2, -2, -2, -2, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -2, 1, -2, 1, -1, 2, -1, 3, 0, 3, 1, 4, 2, 4, 2, 5, 3, 5, 4, 6, 5, 6, 6, 7, 7, 7, 8, 8, 9, 8, 9, 8, 10, 8, 10, 8, 11, 8, 11,
8, 11, 8, 11, 8, 11, 7, 10, 7, 10, 7, 9, 7, 9, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 5, 4, 5, 3, 5, 2, 5, 1, 4, 1, 4, 0, 4, -1, 4, -1, 4, -1, 4, -2, 4, -2, 4, -2, 5, -2, 5, -1, 5, -1, 5, -1, 5, 0, 6, 0, 6, 1, 6, 1,
6, 2, 6, 2, 6, 3, 6, 4, 6, 4, 6, 5, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 5, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 1, 3, 0, 3, 0, 2, -1, 2, -1, 2, -1, 2, -2, 2, -2,
2, -2, 2, -2, 2, -1, 2, -1, 2, -1, 2, -1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, -1, 2, -1, 2, -2, 1, -2, 1, -3, 1, -3, 1, -3, 1, -4, 0, -4, 0, -5, -1, -5, -2, -5, -2, -6, -3, -6, -4, -6, -4, -7, -5, -7, -6, -7, -6,
-7, -7, -7, -7, -7, -7, -7, -8, -6, -8, -6, -8, -6, -8, -6, -8, -6, -7, -5, -7, -5, -7, -5, -6, -4, -5, -4, -5, -4, -4, -4, -3, -4, -3, -4, -2, -3, -1, -3, 0, -3, 0, -3, 1, -3, 2, -3, 2, -3, 2, -3, 2, -3, 2, -4, 2, -4, 2, -4, 2, -4, 2, -4, 2,
-4, 1, -4, 1, -4, 0, -5, 0, -5, -1, -5, -2, -5, -2, -5, -3, -5, -3, -5, -4, -5, -4, -4, -5, -4, -5, -4, -5, -4, -5, -4, -5, -3, -5, -3, -5, -2, -5, -2, -4, -2, -4, -1, -3, -1, -3, -1, -2, 0, -1, 0, -1, 0, 0, 1, 1, 1, 2, 2, 3, 2, 3, 2, 4,
2, 5, 2, 5, 2, 5, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 4, 6, 4, 6, 4, 6, 4, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 2, 4, 2, 5, 2, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 6, 2, 6, 2, 6, 2, 6, 3, 7, 3,
7, 3, 7, 4, 7, 4, 7, 4, 7, 5, 7, 5, 7, 5, 7, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 6, 4, 6, 4, 5, 3, 5, 3, 5, 2, 5, 1, 5, 1, 5, 0, 5, 0, 5, 0, 5, -1, 5, -1, 5, -1, 5, -1,
5, -1, 5, -1, 5, -1, 5, 0, 5, 0, 6, 0, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 4, 6, 5, 5, 5, 5, 6, 5, 6, 5, 6, 4, 6, 4, 6, 4, 6, 3, 6, 3, 6, 3, 5, 2, 5, 2, 5, 1, 4, 1, 3, 0, 2, 0, 1, -1, 1, -1, 0,
-2, -1, -2, -2, -3, -3, -3, -4, -4, -5, -4, -6, -4, -6, -5, -7, -5, -7, -5, -8, -5, -8, -5, -8, -5, -8, -5, -7, -5, -7, -5, -7, -5, -6, -5, -6, -5, -5, -4, -5, -4, -4, -4, -4, -4, -3, -4, -3, -4, -2, -4, -1, -4, -1, -4, 0, -4, 0, -4, 0, -3, 1, -3, 1,
-3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 0, -4, 0, -4, -1, -4, -1, -4, -2, -5, -2, -5, -2, -5, -3, -5, -3, -5, -4, -5, -4, -5, -4, -5, -4, -5, -4, -5, -4, -5, -4, -5, -4, -5, -4, -5, -3, -4, -3, -4, -2, -4, -2, -4, -1, -4, -1, -4, -1, -4, 0, -3, 0,
-3, 1, -3, 1, -3, 1, -3, 2, -3, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -1, 2, -1, 2, -1, 2, -1, 1, -1, 1, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, 0, -3, 0, -3, 0, -3, 0, -3, 0, -2, 1, -2, 1, -2, 2, -1, 2, -1,
3, 0, 3, 1, 4, 2, 4, 2, 4, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 6, 8, 6, 8, 6, 8, 6, 9, 6, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 8, 7, 8, 6, 7, 6, 6, 6, 6, 6, 5, 6, 4, 5, 3, 5, 3, 5, 2, 5, 1, 5, 0,
5, 0, 4, 0, 4, -1, 4, -1, 4, -1, 5, -1, 5, -1, 5, -1, 5, 0, 6, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 6, 3, 7, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6,
6, 5, 5, 4, 5, 4, 4, 3, 4, 2, 3, 2, 3, 1, 3, 0, 2, 0, 2, -1, 1, -2, 1, -2, 1, -2, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -2, -1, -2, -1, -2, -1, -2, -1, -2, -2, -1, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -3, 0, -3, 0,
-3, 0, -3, 0, -3, 0, -3, 0, -3, -1, -3, -1, -3, -1, -3, -2, -4, -2, -4, -3, -4, -3, -4, -4, -4, -5, -4, -5, -4, -5, -5, -6, -5, -6, -5, -6, -5, -6, -5, -7, -5, -6, -5, -6, -5, -6, -4, -6, -4, -5, -4, -5, -4, -4, -4, -4, -4, -3, -4, -2, -4, -2, -4, -1,
-4, -1, -4, 0, -4, 1, -3, 1, -3, 2, -3, 2, -4, 2, -4, 3, -4, 3, -4, 3, -4, 3, -4, 3, -4, 2, -4, 2, -4, 2, -4, 1, -4, 1, -4, 0, -5, -1, -5, -1, -5, -2, -5, -3, -5, -3, -5, -4, -5, -5, -5, -5, -5, -6, -5, -6, -5, -6, -5, -6, -5, -6, -4, -6,
-4, -6, -4, -6, -3, -5, -3, -4, -2, -4, -2, -3, -2, -3, -1, -2, -1, -1, 0, -1, 0, 0, 1, 1, 1, 2, 1, 3, 2, 3, 2, 4, 2, 4, 3, 5, 3, 5, 3, 5, 4, 6, 4, 6, 4, 6, 5, 6, 5, 6, 5, 6, 5, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4,
5, 3, 5, 3, 5, 3, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 3, 5, 3, 5, 3, 5, 4, 5, 4, 5, 4, 5, 5, 6, 5, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 7, 6, 7, 5,
7, 5, 7, 4, 7, 4, 7, 3, 7, 3, 6, 2, 6, 2, 6, 1, 6, 0, 6, 0, 6, 0, 5, -1, 5, -1, 5, -1, 5, -1, 5, -1, 5, -1, 4, -1, 4, -1, 5, 0, 5, 0, 5, 1, 5, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5,
4, 5, 3, 5, 3, 5, 3, 5, 3, 5, 2, 5, 2, 4, 2, 4, 2, 3, 1, 3, 1, 2, 0, 1, 0, 1, -1, 0, -1, -1, -1, -2, -2, -3, -2, -3, -3, -4, -3, -5, -4, -5, -4, -6, -4, -6, -4, -7, -5, -7, -5, -7, -5, -7, -5, -7, -5, -6, -5, -6, -5, -6, -4, -5,
-4, -5, -4, -4, -4, -4, -4, -3, -4, -2, -3, -2, -3, -1, -3, -1, -3, 0, -2, 0, -2, 1, -2, 1, -2, 1, -2, 1, -2, 2, -2, 2, -2, 1, -2, 1, -2, 1, -2, 1, -2, 0, -3, 0, -3, -1, -3, -1, -4, -2, -4, -2, -5, -3, -5, -3, -5, -4, -6, -4, -6, -4, -6, -5,
-7, -5, -7, -5, -7, -5, -7, -5, -7, -5, -7, -4, -7, -4, -7, -4, -7, -3, -6, -3, -6, -3, -6, -2, -6, -2, -5, -1, -5, -1, -5, 0, -4, 0, -4, 0, -3, 1, -3, 1, -3, 1, -2, 1, -2, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0,
1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 1, -1, 1, -1, 2, -1, 2, -1, 2, 0, 2, 0, 3, 1, 3, 2, 3, 2, 4, 3, 4, 4, 4, 4, 4, 5, 5, 6, 5, 7, 5, 7, 6, 8, 6, 8, 6, 9, 6, 9, 6, 9, 6, 9, 7, 9, 7, 9,
7, 9, 7, 8, 7, 8, 7, 8, 6, 7, 6, 6, 6, 6, 6, 5, 5, 4, 5, 3, 5, 2, 5, 2, 4, 1, 4, 0, 4, 0, 4, -1, 4, -1, 3, -2, 3, -2, 3, -2, 3, -2, 3, -2, 4, -1, 4, -1, 4, -1, 4, 0, 5, 0, 5, 1, 5, 1, 5, 2, 6, 2, 6, 3,
6, 4, 7, 4, 7, 5, 7, 5, 7, 6, 7, 6, 8, 6, 8, 6, 8, 7, 8, 7, 8, 6, 8, 6, 7, 6, 7, 6, 7, 5, 6, 5, 6, 4, 6, 3, 5, 3, 4, 2, 4, 2, 3, 1, 3, 1, 2, 0, 2, -1, 1, -1, 1, -1, 0, -2, 0, -2, -1, -2, -1, -2, -1, -2,
-1, -2, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, -1, -2, -1, -2, -1, -2, -2, -2, -3, -3, -3, -3, -4, -3, -4, -3, -5, -3, -5, -4, -6, -4, -6, -4, -6,
-4, -6, -4, -6, -5, -6, -5, -6, -5, -6, -5, -6, -5, -6, -5, -5, -5, -5, -5, -4, -5, -4, -5, -3, -5, -3, -5, -2, -5, -1, -5, -1, -5, 0, -4, 0, -4, 1, -4, 1, -4, 2, -4, 2, -4, 2, -4, 2, -4, 2, -4, 2, -4, 2, -4, 1, -4, 1, -4, 1, -4, 0, -4, 0,
-4, -1, -4, -1, -4, -2, -4, -2, -5, -3, -5, -4, -5, -4, -5, -5, -5, -5, -5, -5, -5, -5, -5, -6, -5, -5, -4, -5, -4, -5, -4, -5, -3, -4, -3, -4, -2, -3, -2, -2, -2, -2, -1, -1, -1, 0, 0, 0, 1, 1, 1, 2, 2, 3, 2, 3, 3, 4, 3, 4, 4, 5, 4, 5,
4, 6, 5, 6, 5, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 6, 5, 5, 4, 5, 4, 5, 3, 5, 3, 4, 3, 4, 2, 4, 2, 4, 2, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 4,
4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 6, 5, 6, 5, 6, 5, 7, 5, 7, 5, 7, 5, 7, 5, 8, 4, 8, 4, 8, 4, 8, 3, 8, 3, 7, 2, 7, 2, 7, 1, 7, 1, 7, 1, 7, 0, 6, 0, 6, 0, 6, 0, 5, 0, 5, 0, 5, 0, 5, 0,
5, 0, 5, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 6, 4, 6, 4, 6, 4, 6, 3, 6, 3, 6, 3, 5, 3, 5, 3, 5, 2, 4, 2, 4, 2, 3, 1, 2, 1, 2, 0, 1, 0, 0, -1, -1, -2, -2, -2, -3, -3, -3,
-3, -4, -4, -5, -4, -6, -5, -6, -5, -7, -6, -7, -6, -7, -6, -7, -6, -7, -6, -7, -6, -7, -6, -7, -6, -6, -6, -6, -6, -5, -5, -5, -5, -4, -5, -4, -4, -3, -4, -3, -3, -2, -3, -1, -3, -1, -2, 0, -2, 0, -2, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1,
-1, 1, -1, 1, -1, 0, -2, 0, -2, 0, -2, -1, -3, -1, -3, -2, -4, -2, -4, -2, -5, -3, -5, -3, -6, -3, -6, -4, -7, -4, -7, -4, -7, -4, -7, -4, -8, -4, -8, -3, -7, -3, -7, -3, -7, -2, -7, -2, -7, -2, -6, -1, -6, -1, -6, 0, -5, 0, -4, 0, -4, 1, -3, 1,
-3, 1, -2, 1, -2, 1, -2, 1, -1, 2, -1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -1, 1, -1, 1, -1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2,
3, 3, 3, 4, 3, 4, 4, 5, 4, 6, 5, 7, 5, 7, 5, 8, 6, 8, 6, 8, 6, 8, 6, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 5, 6, 5, 6, 4, 5, 3, 5, 2, 5, 2, 4, 1, 4, 1, 4, 0, 4, 0, 3, -1, 3, -1,
3, -1, 3, -1, 3, -1, 3, -1, 3, -1, 3, 0, 4, 0, 4, 1, 4, 1, 5, 2, 5, 2, 6, 3, 6, 3, 7, 4, 7, 5, 7, 5, 8, 6, 8, 6, 8, 6, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 6, 8, 6, 8, 6, 8, 5, 7, 5, 6, 4, 6, 3,
5, 3, 4, 2, 4, 2, 3, 1, 2, 0, 1, 0, 1, -1, 0, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -2, -3, -2, -3, -2, -4, -2, -4, -2, -4, -2, -4, -2, -4, -1, -4, -1, -4, -1, -3, -1, -3, -1, -3, 0, -3, 0, -3, 0, -3, 0, -2, -1, -2, -1, -2, -1, -2, -1,
-2, -1, -2, -1, -2, -2, -2, -2, -2, -3, -2, -3, -2, -3, -2, -4, -2, -4, -3, -5, -3, -5, -3, -5, -3, -5, -4, -5, -4, -6, -4, -6, -4, -6, -5, -5, -5, -5, -5, -5, -5, -5, -5, -4, -5, -4, -5, -3, -5, -2, -5, -2, -5, -1, -5, -1, -4, 0, -4, 1, -4, 1, -4, 2,
-4, 2, -3, 2, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 2, -3, 2, -3, 2, -3, 1, -3, 1, -3, 0, -4, 0, -4, -1, -4, -1, -4, -2, -5, -3, -5, -3, -5, -4, -5, -4, -5, -5, -5, -5, -6, -5, -6, -6, -6, -6, -6, -6, -6, -6, -5, -5, -5, -5, -5, -5, -4, -4,
-4, -4, -3, -3, -3, -2, -2, -2, -1, -1, -1, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 6, 5, 6, 6, 7, 6, 7, 6, 7, 6, 7, 5, 7, 5, 7, 5, 7, 5, 6, 4, 6, 4, 6, 4, 5, 4, 5, 3, 4, 3, 4, 3,
4, 3, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 4, 3, 4, 3, 4, 3, 5, 4, 5, 4, 5, 5, 5, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 6, 7, 6, 7, 5, 8, 5, 8, 5, 8, 5, 8, 4, 8, 4, 8, 3, 8, 3,
8, 2, 7, 2, 7, 1, 7, 1, 7, 1, 6, 0, 6, 0, 6, 0, 5, 0, 5, 0, 4, 0, 4, 0, 4, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 3, 5, 3, 5,
3, 5, 3, 4, 3, 4, 2, 3, 2, 3, 2, 2, 1, 2, 1, 1, 0, 0, -1, -1, -1, -1, -2, -2, -3, -3, -3, -3, -4, -4, -4, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -6, -7, -6, -7, -6, -7, -6, -7, -6, -6, -6, -6, -5, -6, -5, -6, -4, -5, -4, -5, -3, -4, -3,
-4, -2, -3, -2, -2, -1, -2, 0, -1, 0, -1, 0, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 0, -1, 0, -2, -1, -2, -1, -3, -1, -4, -2, -4, -2, -5, -2, -6, -3, -6, -3, -7, -3, -7, -4, -8, -4, -8, -4, -8, -4, -9, -4,
-9, -4, -9, -3, -9, -3, -8, -3, -8, -3, -8, -2, -7, -2, -7, -2, -6, -1, -6, -1, -5, -1, -4, 0, -4, 0, -3, 0, -3, 0, -2, 1, -1, 1, -1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, -1, 2, -1, 1, -1, 1, -1, 1, -1, 1, -1,
1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 4, 3, 4, 4, 5, 4, 6, 5, 7, 5, 7, 6, 8, 6, 8, 7, 9, 7, 9, 7, 9, 7, 9, 8, 9, 8, 9, 8, 9, 8, 8, 8, 8, 8, 7, 7, 7,
7, 6, 7, 6, 6, 5, 6, 4, 5, 3, 5, 3, 4, 2, 4, 1, 3, 1, 3, 0, 2, 0, 2, -1, 2, -1, 2, -1, 1, -1, 1, -1, 1, -1, 2, -1, 2, -1, 2, -1, 2, 0, 3, 0, 3, 1, 4, 1, 4, 2, 5, 2, 6, 3, 6, 3, 7, 4, 8, 4, 8, 5, 8, 5,
9, 5, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 5, 8, 5, 8, 5, 7, 4, 7, 4, 6, 3, 5, 3, 5, 2, 4, 2, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, -1, 0, -2, -1, -2, -1, -3, -1, -3, -1, -3, -1, -3, -1, -4, -1, -4, -1, -4, -1, -4, 0,
-4, 0, -4, 0, -3, 0, -3, 0, -3, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -2, -1, -2, -2, -2, -2, -3, -2, -3, -2, -4, -3, -4, -3, -5, -3, -5, -4, -5, -4, -5, -4, -6, -5, -6, -5, -6, -5, -6, -6, -6, -6, -5,
-6, -5, -6, -5, -6, -4, -6, -4, -6, -4, -6, -3, -6, -2, -5, -2, -5, -1, -5, -1, -4, 0, -4, 0, -4, 1, -3, 1, -3, 2, -3, 2, -3, 2, -3, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 1, -2, 1, -3, 1, -3, 0, -3, 0, -3, -1, -4, -1, -4, -2, -5, -2, -5, -3,
-5, -3, -5, -4, -6, -4, -6, -4, -6, -5, -6, -5, -6, -5, -6, -5, -6, -5, -6, -5, -5, -4, -5, -4, -5, -3, -4, -3, -3, -2, -3, -2, -2, -1, -1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 4, 5, 4, 6, 5, 6, 5, 7, 5, 7, 6, 7, 6, 8, 6,
8, 6, 8, 6, 8, 6, 7, 5, 7, 5, 7, 5, 6, 5, 6, 4, 5, 4, 5, 4, 5, 4, 4, 3, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5,
6, 5, 6, 5, 7, 5, 7, 5, 7, 5, 8, 4, 8, 4, 8, 4, 8, 4, 8, 3, 8, 3, 8, 2, 7, 2, 7, 2, 7, 1, 6, 1, 6, 1, 6, 0, 5, 0, 5, 0, 5, 0, 4, 0, 4, 0, 4, 0, 3, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3,
3, 3, 3, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 4, 5, 4, 5, 4, 5, 3, 4, 3, 3, 2, 3, 1, 2, 1, 1, 0, 0, -1, 0, -2, -1, -3, -2, -3, -3, -4, -3, -5, -4, -5, -5, -6, -5, -7, -6, -7, -6,
-8, -6, -8, -7, -8, -7, -8, -7, -8, -7, -8, -6, -8, -6, -7, -6, -7, -5, -7, -5, -6, -5, -5, -4, -5, -4, -4, -3, -3, -3, -3, -2, -2, -2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -2, -1,
-3, -1, -3, -1, -4, -2, -4, -2, -5, -2, -6, -2, -6, -3, -7, -3, -7, -3, -8, -3, -8, -3, -8, -3, -8, -3, -8, -2, -8, -2, -8, -2, -8, -2, -7, -1, -7, -1, -6, -1, -6, 0, -5, 0, -4, 0, -4, 0, -3, 1, -2, 1, -2, 1, -1, 1, -1, 1, 0, 1, 0, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7,
7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 9, 8, 9, 8, 8, 8, 8, 7, 8, 7, 8, 6, 7, 6, 6, 5, 6, 4, 5, 4, 5, 3, 4, 2, 4, 2, 3, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0,
2, 0, 2, 0, 3, 1, 3, 1, 4, 2, 5, 2, 5, 3, 6, 3, 7, 4, 8, 4, 8, 4, 9, 5, 9, 5, 9, 5, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 9, 5, 9, 5, 8, 5, 8, 5, 7, 4, 6, 4, 6, 3, 5, 3, 4, 2, 3, 2, 2, 2, 1, 1, 1, 1,
0, 0, -1, 0, -2, 0, -2, 0, -3, -1, -3, -1, -3, -1, -4, -1, -4, -1, -4, -1, -4, -1, -4, -1, -4, -1, -4, -1, -3, -1, -3, 0, -3, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, -1, -1, -1, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, -2, -3, -2, -3, -2, -4, -3, -4,
-3, -4, -3, -5, -4, -5, -4, -5, -5, -5, -5, -6, -5, -6, -6, -6, -6, -6, -6, -6, -6, -6, -7, -5, -7, -5, -6, -5, -6, -4, -6, -4, -6, -3, -6, -3, -5, -2, -5, -2, -5, -1, -4, 0, -4, 0, -3, 1, -2, 1, -2, 2, -2, 2, -1, 2, -1, 3, -1, 3, -1, 3, -1, 3,
-1, 3, -1, 3, -1, 3, -1, 2, -1, 2, -2, 1, -2, 1, -2, 0, -3, 0, -4, -1, -4, -1, -5, -2, -5, -2, -6, -3, -6, -3, -6, -4, -7, -4, -7, -4, -7, -5, -7, -5, -7, -5, -7, -5, -7, -5, -6, -4, -6, -4, -5, -4, -5, -3, -4, -3, -3, -2, -2, -2, -1, -1, -1, -1,
0, 0, 1, 1, 2, 1, 3, 2, 4, 2, 5, 3, 5, 3, 6, 4, 7, 4, 7, 4, 7, 4, 8, 4, 8, 5, 8, 5, 8, 5, 7, 5, 7, 5, 7, 4, 6, 4, 6, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 4,
2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 6, 7, 6, 7, 6, 8, 5, 8, 5, 8, 5, 8, 5, 8, 4, 8, 4, 8, 4, 8, 3, 7, 3, 7, 2, 6, 2, 6, 1, 5, 1, 5, 1, 5, 0, 4, 0, 4, 0,
3, 0, 3, -1, 2, -1, 2, -1, 2, -1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 4, 3, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 6, 5, 6, 5, 6, 5, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 2, 2,
2, 2, 1, 1, 0, 0, -1, -1, -2, -1, -3, -2, -4, -3, -5, -3, -5, -4, -6, -4, -7, -5, -7, -5, -8, -5, -8, -6, -8, -6, -9, -6, -8, -6, -8, -6, -8, -6, -8, -6, -7, -5, -7, -5, -6, -5, -6, -4, -5, -4, -4, -3, -3, -3, -3, -2, -2, -2, -1, -1, -1, -1, 0, -1,
0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, 0, -2, -1, -3, -1, -4, -1, -4, -1, -5, -2, -6, -2, -6, -2, -7, -2, -7, -2, -8, -2, -8, -2, -8, -2, -8, -2, -8, -2, -8, -2, -8, -2, -7, -2, -7, -2, -7, -1, -6, -1,
-5, -1, -5, -1, -4, 0, -3, 0, -3, 0, -2, 0, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 0, -1, 0, -2, 0, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -2, -2, -2, -2, -1, -1, -1, -1,
-1, -1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 6, 7, 7, 8, 7, 9, 8, 9, 8, 10, 8, 10, 9, 10, 9, 10, 9, 10, 9, 10, 8, 10, 8, 9, 8, 9, 7, 8, 7, 8, 6, 7, 6, 6, 5, 6, 4, 5, 4, 4, 3,
3, 3, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, 0, 1, 0, 2, 0, 3, 0, 3, 1, 4, 1, 5, 1, 5, 2, 6, 2, 7, 3, 7, 3, 8, 3, 8, 3, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4,
8, 4, 8, 4, 7, 4, 7, 3, 6, 3, 5, 3, 5, 3, 4, 2, 3, 2, 2, 2, 2, 1, 1, 1, 0, 1, -1, 1, -1, 0, -2, 0, -2, 0, -2, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, -1, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -2, -2, -2, -2, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -6, -5, -6, -6, -7, -6, -7, -6, -8, -6, -8, -6, -8, -6, -8, -6, -8, -5, -8, -5, -8, -5, -7, -4, -7, -4, -6, -3, -6, -3,
-5, -2, -5, -2, -4, -1, -4, -1, -3, 0, -2, 0, -2, 1, -1, 1, -1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, -1, 1, -1, 1, -2, 0, -2, 0, -3, -1, -4, -1, -4, -2, -5, -2, -5, -2, -6, -3, -6, -3, -7, -4, -7, -4, -7, -4,
-7, -4, -7, -4, -7, -4, -7, -4, -6, -4, -6, -4, -5, -3, -5, -3, -4, -3, -3, -2, -2, -2, -1, -1, 0, 0, 1, 0, 2, 1, 3, 1, 3, 2, 4, 2, 5, 3, 5, 3, 6, 3, 6, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 5, 7, 5, 7, 5, 6, 5, 6, 4, 6, 4,
5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 2, 3, 2, 3, 2, 3, 2, 3, 2, 4, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 8, 5, 8, 5, 8, 5, 8, 5, 8, 5, 8, 4, 8, 4,
8, 4, 8, 3, 8, 3, 7, 3, 7, 2, 6, 2, 5, 1, 5, 1, 4, 0, 4, 0, 3, 0, 3, 0, 2, -1, 2, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 4, 3, 4, 4, 5, 4, 6, 5,
6, 5, 6, 5, 7, 5, 7, 5, 7, 6, 7, 6, 7, 5, 6, 5, 6, 5, 6, 5, 5, 4, 4, 4, 4, 3, 3, 3, 2, 2, 1, 1, 0, 1, -1, 0, -2, -1, -3, -2, -4, -2, -5, -3, -6, -3, -7, -4, -7, -4, -8, -5, -8, -5, -9, -5, -9, -6, -9, -6, -9, -6, -8, -6,
-8, -6, -8, -6, -7, -5, -7, -5, -6, -5, -6, -5, -5, -4, -4, -4, -3, -3, -3, -3, -2, -3, -2, -2, -1, -2, -1, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -2, -1, -3, -1, -3, -1, -4, -1, -4, -1, -5, -2, -5, -2, -6, -2, -6, -2,
-7, -2, -7, -2, -7, -2, -7, -2, -7, -2, -7, -2, -7, -2, -7, -1, -6, -1, -6, -1, -6, -1, -5, -1, -4, 0, -4, 0, -3, 0, -2, 0, -2, 0, -1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, -1,
0, -1, 0, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -1, -2, -1, -2, -1, -1, 0, -1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 4, 6, 5, 7, 6, 8, 6, 8, 6, 9, 7, 10, 7, 10, 7, 10, 8,
10, 8, 11, 8, 10, 8, 10, 8, 10, 7, 10, 7, 9, 7, 8, 6, 8, 6, 7, 5, 6, 5, 5, 4, 5, 4, 4, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 1, 4, 1,
4, 1, 5, 2, 6, 2, 6, 2, 7, 3, 7, 3, 8, 3, 8, 3, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 7, 4, 7, 4, 6, 4, 5, 3, 5, 3, 4, 3, 3, 3, 3, 2, 2, 2, 1, 2, 1, 1, 0, 1, -1, 1, -1, 1, -2, 0, -2, 0, -2, 0, -2, 0,
-2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -2, -1, -2, -1, -2, -2, -3, -3, -3, -3, -4, -4, -4, -5, -4, -6, -5, -6, -5, -7, -5, -7, -6,
-8, -6, -8, -6, -9, -6, -9, -6, -9, -6, -9, -6, -9, -6, -9, -5, -9, -5, -8, -5, -8, -4, -7, -4, -7, -3, -6, -3, -5, -2, -5, -2, -4, -1, -3, -1, -2, 0, -1, 0, -1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 2, 1, 2, 0, 2,
0, 2, 0, 1, -1, 1, -2, 1, -2, 0, -3, 0, -4, -1, -4, -1, -5, -2, -5, -2, -6, -2, -6, -3, -7, -3, -7, -3, -7, -3, -7, -4, -7, -4, -6, -4, -6, -3, -5, -3, -5, -3, -4, -3, -4, -3, -3, -2, -2, -2, -1, -1, 0, -1, 1, -1, 1, 0, 2, 0, 3, 1, 4, 1,
4, 2, 5, 2, 5, 2, 5, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 4, 6, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5,
6, 5, 6, 5, 7, 5, 8, 5, 8, 6, 9, 6, 9, 6, 9, 6, 9, 6, 10, 6, 10, 5, 10, 5, 9, 5, 9, 5, 9, 4, 8, 4, 8, 4, 7, 3, 7, 3, 6, 2, 5, 2, 4, 1, 3, 1, 3, 1, 2, 0, 1, 0, 1, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1,
-1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 4, 3, 4, 3, 5, 3, 6, 4, 6, 4, 6, 4, 7, 4, 7, 4, 7, 5, 7, 5, 6, 4, 6, 4, 6, 4, 5, 4, 4, 3, 4, 3, 3, 2, 2, 2, 1, 1, 0, 1, -1, 0,
-2, -1, -3, -1, -4, -2, -5, -2, -5, -3, -6, -3, -7, -4, -7, -4, -8, -4, -8, -5, -8, -5, -8, -5, -8, -5, -8, -5, -7, -5, -7, -5, -7, -5, -6, -5, -6, -4, -5, -4, -4, -4, -4, -3, -3, -3, -3, -3, -2, -2, -2, -2, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, -1, -1,
-1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -3, -1, -4, -1, -4, -1, -5, -1, -5, -1, -6, -1, -6, -2, -6, -2, -7, -2, -7, -2, -7, -2, -7, -2, -7, -2, -7, -2, -7, -2, -7, -2, -6, -1, -6, -1, -5, -1, -5, -1, -4, -1, -3, -1, -3, 0, -2, 0, -1, 0, 0, 0, 0, 0,
1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, -1, 0, -1, -1, -1, -2, -1, -2, -2, -2, -2, -3, -2, -3, -2, -4, -2, -4, -2, -4, -2, -4, -2, -4, -2, -4, -2, -3, -1, -3, -1, -2, -1, -1, 0, -1, 0,
0, 1, 1, 2, 2, 2, 3, 3, 4, 3, 5, 4, 6, 5, 7, 5, 8, 6, 8, 6, 9, 7, 10, 7, 10, 7, 11, 8, 11, 8, 11, 8, 11, 8, 11, 8, 11, 8, 10, 7, 10, 7, 9, 7, 8, 6, 8, 6, 7, 5, 6, 5, 5, 4, 5, 4, 4, 3, 3, 3, 3, 2, 2, 2,
2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 3, 0, 3, 1, 4, 1, 5, 1, 5, 1, 6, 2, 6, 2, 6, 2, 7, 2, 7, 2, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 6, 3, 6, 3, 5, 3, 5, 3, 4, 3,
3, 2, 3, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, -1, 1, -1, 1, -2, 1, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0,
1, 0, 1, 0, 1, -1, 0, -1, -1, -1, -1, -2, -2, -2, -3, -3, -4, -3, -5, -4, -5, -4, -6, -4, -7, -5, -8, -5, -8, -5, -9, -5, -9, -5, -10, -6, -10, -6, -10, -6, -10, -6, -10, -6, -10, -5, -9, -5, -9, -5, -8, -4, -8, -4, -7, -3, -6, -3, -6, -3, -5, -2, -4, -2,
-3, -1, -2, -1, -1, 0, -1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, -1, 1, -1, 1, -2, 0, -2, 0, -3, -1, -3, -1, -4, -1, -4, -2, -5, -2, -5, -2, -6, -2, -6, -3, -6, -3, -6, -3, -6, -3, -5, -3,
-5, -3, -5, -3, -4, -3, -4, -2, -3, -2, -2, -2, -2, -2, -1, -1, 0, -1, 1, 0, 1, 0, 2, 1, 3, 1, 3, 1, 4, 2, 4, 2, 5, 2, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 2, 4, 2, 4,
2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 4, 3, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 7, 5, 7, 5, 8, 5, 9, 5, 9, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 4, 9, 4, 9, 4, 8, 4, 7, 3,
7, 3, 6, 2, 5, 2, 4, 2, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, -1, 0, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 3, 2, 4, 3, 5, 3, 5, 3, 6, 4, 6, 4, 7, 4,
7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 6, 4, 6, 4, 5, 4, 4, 3, 4, 3, 3, 3, 2, 2, 1, 1, 0, 1, -1, 0, -2, 0, -3, -1, -3, -1, -4, -2, -5, -2, -6, -3, -6, -3, -7, -4, -7, -4, -7, -4, -7, -4, -7, -5, -7, -5, -7, -5, -7, -5, -6, -5, -6, -5,
-6, -5, -5, -4, -5, -4, -4, -4, -4, -4, -3, -3, -3, -3, -2, -3, -2, -3, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -2, -1, -3, -1, -3, -1, -4, -1, -4, -1, -5, -1, -5, -2, -6, -2, -6, -2, -6, -2, -7, -2, -7, -2, -7, -2, -7, -2, -7, -2, -7, -2,
-7, -2, -7, -2, -6, -2, -6, -2, -5, -1, -5, -1, -4, -1, -3, -1, -3, -1, -2, 0, -1, 0, -1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, 0, -2, -1,
-2, -1, -3, -1, -3, -1, -4, -1, -4, -1, -4, -1, -4, -2, -4, -2, -4, -1, -4, -1, -4, -1, -3, -1, -3, -1, -2, 0, -1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 3, 3, 4, 3, 5, 4, 6, 4, 7, 5, 8, 5, 9, 6, 9, 6, 10, 6, 10, 6, 10, 7, 10, 7, 10, 7,
10, 7, 10, 7, 10, 7, 9, 6, 9, 6, 8, 6, 8, 5, 7, 5, 6, 5, 5, 4, 5, 4, 4, 3, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 3, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 2,
6, 2, 6, 2, 6, 2, 7, 3, 7, 3, 7, 3, 7, 3, 6, 3, 6, 3, 6, 3, 6, 3, 5, 3, 4, 3, 4, 3, 3, 3, 3, 3, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 1, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0,
-1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, -1, 1, -1, 1, -1, 0, -1, -1, -2, -1, -2, -2, -2, -3, -3, -4, -3, -5, -3, -6, -4, -7, -4, -7, -4, -8, -4, -9, -5, -9, -5, -10, -5,
-10, -5, -10, -5, -10, -5, -10, -5, -10, -5, -10, -5, -9, -5, -9, -4, -8, -4, -8, -4, -7, -3, -6, -3, -6, -3, -5, -2, -4, -2, -3, -1, -2, -1, -1, 0, -1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1,
-1, 1, -1, 1, -2, 0, -2, 0, -3, 0, -4, -1, -4, -1, -4, -1, -5, -2, -5, -2, -5, -2, -5, -2, -5, -2, -5, -2, -5, -3, -5, -3, -4, -2, -4, -2, -3, -2, -3, -2, -2, -2, -2, -2, -1, -1, 0, -1, 1, -1, 1, 0, 2, 0, 2, 0, 3, 1, 3, 1, 4, 1, 4, 2,
4, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 4, 6, 4, 6, 4, 7, 4, 8, 5,
8, 5, 9, 5, 10, 5, 10, 5, 10, 5, 11, 5, 11, 5, 11, 5, 11, 5, 10, 5, 10, 5, 10, 5, 9, 4, 8, 4, 8, 4, 7, 4, 6, 3, 5, 3, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, -1, 0, -1, 0, -2, 0, -2, 0, -2, 0, -2, -1, -2, 0,
-2, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 1, 3, 2, 4, 2, 5, 2, 5, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 4, 6, 3, 6, 3, 5, 3, 5, 3, 4, 3, 4, 3, 3, 2, 2, 2, 1, 1, 0, 1, -1, 0, -2, 0, -2, 0,
-3, -1, -4, -1, -4, -2, -5, -2, -6, -3, -6, -3, -6, -3, -7, -4, -7, -4, -7, -4, -7, -4, -6, -4, -6, -4, -6, -4, -6, -4, -5, -4, -5, -4, -4, -4, -4, -3, -3, -3, -3, -3, -3, -3, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -2, -1, -2, -1, -2, -1,
-3, -1, -3, -1, -4, -1, -4, -1, -5, -1, -5, -1, -6, -1, -6, -1, -6, -1, -7, -2, -7, -2, -7, -2, -7, -2, -7, -2, -7, -2, -7, -2, -7, -2, -6, -2, -6, -2, -5, -2, -5, -1, -4, -1, -4, -1, -3, -1, -2, -1, -2, -1, -1, -1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0,
2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -2, 0, -2, -1, -3, -1, -3, -1, -3, -1, -4, -1, -4, -1, -4, -1, -4, -1, -4, -1, -4, -1, -4, -1, -3, -1, -3, 0, -2, 0, -1, 0, -1, 1, 0, 1,
1, 1, 2, 2, 3, 2, 4, 3, 5, 3, 6, 4, 7, 4, 8, 5, 8, 5, 9, 5, 9, 6, 10, 6, 10, 6, 10, 6, 10, 7, 10, 7, 10, 7, 10, 7, 10, 6, 9, 6, 8, 6, 8, 6, 7, 5, 6, 5, 6, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2,
2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 3, 5, 3, 5, 3, 4, 3, 4, 3, 3, 2, 3, 2, 2, 2,
1, 2, 1, 2, 0, 2, 0, 1, -1, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 2, 0, 2, 0,
2, 0, 1, -1, 0, -1, 0, -1, -1, -1, -2, -2, -3, -2, -4, -2, -5, -3, -6, -3, -6, -3, -7, -3, -8, -4, -8, -4, -9, -4, -9, -4, -10, -4, -10, -4, -10, -4, -10, -4, -10, -4, -9, -4, -9, -5, -8, -5, -7, -6, -7, -6, -6, -6, -5, -6, -4, -5, -3, -4, -2, -3, 0, -1,
1, 0, 2, 2, 3, 3, 3, 4, 4, 5, 4, 6, 4, 6, 4, 6, 3, 5, 3, 4, 2, 3, 2, 1, 1, 0, 0, -1, -1, -3, -2, -3, -3, -4, -4, -3, -5, -3, -6, -1, -7, 0, -7, 2, -8, 3, -8, 4, -8, 5, -8, 6, -8, 6, -8, 5, -8, 5, -8, 4, -7, 3, -7, 1,
-6, 0, -6, -2, -5, -4, -4, -5, -4, -6, -3, -7, -2, -7, -1, -7, 1, -6, 2, -5, 3, -4, 5, -2, 6, -1, 7, 1, 8, 2, 9, 3, 10, 4, 10, 5, 10, 5, 10, 5, 10, 4, 9, 3, 8, 2, 7, 1, 6, -1, 5, -2, 4, -3, 2, -4, 1, -5, 0, -5, -1, -5, -2, -4,
-2, -3, -3, -2, -3, -1, -3, 0, -3, 2, -3, 3, -2, 4, -2, 4, -1, 5, 0, 5, 0, 5, 1, 5, 1, 5, 2, 4, 3, 4, 3, 3, 4, 3, 5, 3, 5, 4, 6, 4, 7, 5, 7, 6, 8, 7, 9, 8, 9, 9, 10, 10, 10, 11, 10, 12, 10, 13, 10, 13, 9, 13, 8, 13,
7, 12, 5, 11, 3, 10, 2, 8, 0, 6, -2, 4, -4, 3, -5, 1, -7, -1, -8, -2, -9, -4, -9, -4, -10, -5, -10, -5, -10, -5, -9, -4, -8, -3, -7, -2, -6, -2, -4, -1, -3, 0, -1, 1, 1, 2, 2, 2, 4, 3, 5, 3, 6, 3, 8, 3, 9, 2, 10, 2, 11, 2, 12, 2,
13, 2, 14, 2, 14, 3, 15, 4, 15, 5, 16, 6, 16, 7, 16, 9, 16, 10, 15, 11, 15, 12, 14, 13, 12, 14, 11, 15, 10, 15, 8, 14, 6, 13, 5, 12, 3, 10, 2, 8, 0, 6, -1, 4, -2, 2, -3, 1, -3, -1, -4, -2, -4, -2, -4, -2, -4, -2, -3, -2, -3, -1, -2, 0,
-1, 1, 0, 2, 1, 3, 2, 4, 2, 4, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 4, 2, 4, 2, 4, 1, 4, 0, 4, 0, 3, 0, 2, 0, 1, 1, 1, 1, 0, 2, -1, 3, -2, 4, -3, 5, -4, 6, -5, 6, -6, 7, -7, 7, -9, 7, -10, 7, -11, 6, -12, 4, -13, 3,
-14, 1, -15, 0, -16, -2, -16, -3, -16, -4, -16, -5, -16, -5, -15, -5, -15, -5, -14, -4, -13, -2, -12, -1, -11, 1, -9, 2, -7, 4, -6, 5, -4, 7, -3, 7, -2, 8, -1, 8, 0, 7, 1, 7, 2, 5, 3, 4, 3, 3, 3, 2, 3, 1, 3, 0, 3, 0, 2, -1, 2, -1, 2, -1,
2, -1, 2, 0, 2, 0, 2, 1, 3, 2, 3, 3, 3, 3, 4, 4, 4, 4, 3, 4, 3, 3, 3, 2, 3, 1, 4, 0, 4, -1, 3, -2, 3, -3, 3, -3, 3, -3, 4, -4, 4, -4, 4, -3, 5, -2, 5, -1, 6, 0, 7, 1, 7, 3, 8, 5, 10, 6, 11, 8, 12, 9, 13, 11,
15, 12, 15, 12, 16, 13, 16, 14, 16, 14, 17, 14, 16, 14, 16, 15, 16, 15, 15, 15, 15, 15, 14, 16, 13, 16, 13, 17, 12, 17, 12, 18, 11, 19, 11, 20, 10, 20, 9, 20, 9, 21, 8, 20, 7, 20, 6, 19, 5, 18, 4, 16, 3, 15, 2, 13, 1, 12, 0, 10, -1, 8, -1, 7,
-2, 5, -3, 4, -3, 3, -4, 2, -5, 1, -5, 0, -6, 0, -6, -1, -5, -1, -5, -1, -5, -1, -4, 0, -4, 0, -4, 0, -4, -1, -4, -1, -3, -2, -3, -3, -3, -3, -2, -4, -2, -5, -1, -5, 0, -5, 0, -5, 0, -5, 0, -5, 0, -5, 1, -5, 1, -4, 2, -3, 3, -2, 3, -1,
4, 0, 4, 1, 4, 2, 3, 3, 3, 4, 2, 4, 2, 4, 1, 3, 1, 3, 0, 2, -2, 1, -3, 1, -4, 0, -5, -1, -6, -2, -7, -3, -8, -4, -9, -4, -10, -4, -11, -4, -12, -3, -13, -2, -13, -1, -14, 0, -13, 1, -13, 2, -12, 3, -12, 4, -11, 5, -10, 5, -8, 6, -7, 7,
-5, 7, -3, 8, -1, 8, 1, 9, 2, 10, 4, 11, 5, 11, 7, 12, 8, 13, 10, 14, 11, 15, 11, 16, 12, 18, 13, 19, 13, 20, 13, 21, 12, 21, 12, 21, 10, 20, 9, 20, 7, 19, 5, 17, 4, 16, 2, 14, 1, 12, -1, 11, -2, 10, -3, 9, -4, 8, -5, 7, -6, 6, -8, 6,
-9, 6, -10, 5, -10, 6, -10, 6, -10, 7, -9, 7, -8, 8, -7, 8, -5, 9, -4, 9, -3, 9, -1, 9, 0, 8, 2, 8, 4, 7, 7, 7, 9, 7, 12, 6, 14, 7, 16, 7, 17, 7, 19, 8, 20, 8, 22, 9, 23, 9, 24, 10, 25, 11, 25, 12, 24, 12, 23, 12, 21, 12, 19, 11,
17, 9, 14, 8, 12, 6, 9, 4, 6, 2, 3, 1, 0, -1, -3, -3, -5, -5, -7, -6, -9, -8, -11, -9, -12, -10, -13, -10, -14, -11, -14, -11, -14, -10, -14, -10, -12, -9, -11, -8, -9, -6, -8, -5, -6, -4, -4, -4, -2, -3, 1, -2, 3, -2, 5, -1, 8, 0, 10, 1, 12, 2, 14, 3,
16, 4, 17, 6, 18, 7, 19, 8, 20, 9, 20, 10, 19, 11, 19, 12, 18, 13, 17, 13, 15, 14, 13, 14, 11, 13, 8, 12, 4, 11, 1, 10, -3, 8, -6, 7, -9, 5, -12, 3, -15, 2, -17, 0, -18, -1, -19, -2, -19, -2, -19, -3, -19, -3, -18, -2, -17, -2, -16, -1, -14, 0, -11, 1,
-8, 3, -5, 4, -2, 5, 1, 7, 4, 8, 7, 9, 9, 9, 11, 10, 14, 10, 16, 10, 19, 11, 21, 11, 23, 12, 24, 12, 25, 12, 26, 12, 26, 12, 26, 12, 26, 12, 26, 12, 25, 13, 25, 13, 24, 13, 23, 14, 21, 14, 18, 13, 16, 12, 13, 11, 9, 9, 6, 7, 3, 5, 0, 3,
-3, 1, -6, -1, -8, -3, -10, -5, -12, -6, -14, -8, -15, -9, -16, -10, -16, -11, -16, -11, -16, -11, -15, -11, -13, -10, -11, -9, -9, -8, -7, -7, -4, -5, -2, -4, 0, -3, 2, -2, 4, -1, 6, 0, 7, 0, 8, 1, 9, 1, 10, 1, 10, 1, 10, 2, 10, 2, 9, 3, 8, 3, 7, 4,
6, 4, 4, 5, 3, 6, 1, 7, -1, 7, -2, 8, -5, 9, -7, 9, -9, 8, -12, 8, -14, 7, -16, 6, -19, 5, -21, 4, -23, 3, -25, 2, -26, 1, -27, 0, -27, -1, -27, -2, -27, -3, -26, -3, -26, -3, -25, -3, -23, -2, -22, -2, -20, -1, -17, 0, -14, 1, -11, 3, -8, 4, -6, 5,
-4, 5, -2, 5, 0, 5, 1, 5, 3, 4, 4, 4, 5, 3, 6, 3, 7, 3, 6, 2, 6, 2, 5, 2, 4, 2, 4, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 5, 2, 6, 1, 7, 1, 7, 0, 7, 0, 7, -1, 7, -2, 7, -2, 6, -2, 5, -2, 5, -2, 5, -2, 4,
-1, 4, -1, 4, 0, 4, 1, 4, 2, 5, 3, 5, 4, 6, 6, 8, 8, 9, 10, 11, 12, 12, 15, 14, 18, 15, 20, 17, 22, 18, 24, 19, 26, 20, 27, 21, 29, 22, 30, 22, 30, 23, 31, 23, 30, 23, 30, 23, 29, 23, 28, 23, 26, 23, 25, 22, 24, 22, 22, 22, 21, 22, 20, 21,
18, 21, 16, 20, 15, 20, 13, 18, 11, 17, 10, 15, 8, 13, 7, 12, 6, 10, 4, 8, 3, 6, 2, 4, 1, 2, 1, 1, 1, -1, 1, -3, 0, -4, -1, -5, -1, -6, -2, -7, -2, -8, -2, -8, -2, -8, -1, -8, 0, -8, 0, -7, 1, -7, 1, -6, 2, -6, 2, -6, 2, -5, 2, -5,
2, -5, 2, -4, 3, -4, 3, -4, 3, -3, 3, -3, 3, -2, 3, -2, 2, -1, 2, -1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 1, 3, 1, 4, 0, 4, -1, 4, -2, 4, -3, 3, -3, 2, -4, 1, -5, 0, -6, 0, -6, -1, -7, -2, -8, -3, -9, -4, -10, -5, -11, -6, -12, -7,
-13, -8, -14, -9, -15, -9, -16, -9, -16, -9, -16, -9, -16, -9, -16, -9, -15, -8, -15, -8, -14, -7, -14, -7, -13, -7, -11, -6, -9, -6, -8, -5, -6, -4, -4, -3, -2, -2, -1, -1, 0, 0, 1, 1, 3, 1, 4, 2, 5, 3, 6, 4, 6, 5, 7, 6, 7, 7, 7, 8, 7, 9, 7, 9,
6, 9, 5, 9, 4, 9, 3, 9, 2, 8, 1, 8, 0, 7, -1, 7, -2, 7, -2, 6, -3, 6, -3, 6, -4, 6, -5, 6, -6, 7, -6, 7, -7, 7, -7, 8, -7, 8, -6, 9, -6, 9, -5, 9, -4, 9, -3, 10, -2, 10, -1, 9, 0, 9, 1, 9, 2, 9, 4, 8, 6, 8, 8, 8,
10, 7, 12, 7, 13, 7, 14, 7, 15, 7, 16, 6, 17, 6, 18, 6, 18, 6, 18, 5, 18, 5, 17, 5, 15, 4, 13, 3, 11, 1, 8, -1, 5, -2, 3, -4, 0, -6, -3, -8, -5, -9, -8, -11, -10, -12, -12, -13, -14, -14, -16, -15, -18, -16, -19, -16, -20, -16, -21, -16, -21, -16, -20, -15,
-19, -14, -18, -13, -16, -11, -15, -10, -13, -8, -11, -6, -9, -5, -7, -4, -4, -2, -2, -1, 1, 1, 3, 2, 6, 4, 8, 6, 10, 8, 12, 9, 14, 11, 15, 12, 17, 14, 17, 15, 18, 17, 18, 18, 18, 19, 17, 20, 16, 20, 15, 21, 13, 20, 11, 20, 8, 19, 5, 17, 2, 16, -1, 14,
-4, 13, -7, 11, -9, 10, -11, 8, -13, 7, -14, 6, -15, 5, -15, 4, -15, 3, -15, 2, -15, 2, -14, 2, -12, 3, -11, 3, -8, 4, -6, 4, -3, 5, 0, 5, 3, 6, 5, 6, 8, 6, 10, 7, 12, 7, 15, 7, 17, 7, 20, 8, 23, 8, 24, 8, 26, 9, 27, 9, 28, 10, 28, 10,
29, 11, 29, 11, 29, 11, 29, 12, 29, 13, 28, 13, 27, 13, 25, 14, 23, 13, 20, 13, 18, 12, 15, 11, 12, 10, 9, 9, 6, 7, 3, 6, 1, 5, -2, 3, -3, 2, -5, 1, -7, 1, -8, 0, -9, -1, -10, -1, -10, -1, -9, -2, -8, -2, -7, -1, -5, -1, -3, 0, -1, 1, 0, 1,
2, 2, 4, 2, 6, 2, 7, 2, 9, 2, 10, 2, 11, 2, 12, 2, 12, 2, 13, 1, 13, 1, 12, 1, 11, 1, 10, 0, 9, 0, 7, 0, 5, 0, 4, 0, 2, 0, 0, 0, -3, 0, -5, -1, -8, -1, -10, -2, -13, -3, -15, -4, -18, -5, -21, -7, -23, -8, -25, -8, -27, -9, -28, -10,
-29, -11, -30, -11, -30, -12, -30, -12, -30, -12, -29, -12, -28, -12, -27, -11, -25, -10, -23, -9, -20, -8, -17, -7, -14, -6, -11, -5, -8, -3, -6, -3, -4, -2, -2, -1, 0, -1, 1, 0, 3, 0, 5, 1, 6, 1, 6, 1, 6, 2, 6, 2, 6, 2, 5, 2, 5, 3, 4, 3, 4, 4, 4, 4,
3, 5, 3, 6, 3, 6, 2, 6, 1, 6, 0, 6, -1, 6, -1, 6, -2, 5, -3, 5, -4, 4, -4, 3, -4, 2, -4, 1, -4, 0, -4, 0, -4, -1, -4, -2, -3, -2, -2, -3, -1, -3, 0, -3, 2, -3, 4, -2, 6, -2, 8, -1, 10, 0, 13, 0, 15, 1, 17, 2, 19, 3, 21, 3,
23, 4, 24, 5, 25, 6, 26, 7, 26, 7, 26, 8, 26, 9, 25, 9, 23, 10, 22, 10, 21, 10, 19, 10, 18, 11, 17, 11, 15, 11, 13, 12, 11, 12, 9, 12, 8, 11, 6, 11, 4, 10, 3, 9, 1, 8, 0, 7, -1, 6, -2, 5, -3, 4, -3, 3, -4, 2, -4, 1, -4, 0, -4, -1,
-5, -1, -5, -2, -5, -3, -5, -3, -4, -3, -4, -3, -3, -3, -2, -3, -1, -3, -1, -3, 0, -2, 0, -2, 0, -2, 1, -2, 1, -2, 1, -2, 2, -1, 2, -1, 2, -1, 2, -1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -2, 0, -2, 0, -3, 0, -3, 0, -4, 0,
-5, 0, -6, -1, -7, -2, -8, -3, -8, -4, -9, -4, -9, -5, -10, -6, -11, -7, -11, -7, -12, -8, -12, -9, -13, -9, -13, -10, -14, -10, -14, -11, -15, -11, -15, -11, -15, -11, -15, -10, -15, -10, -14, -9, -14, -8, -13, -7, -12, -6, -11, -5, -10, -4, -9, -3, -7, -2, -6, -1, -4, 1, -2, 2,
0, 4, 1, 6, 2, 7, 4, 9, 5, 10, 6, 11, 7, 12, 8, 13, 9, 14, 9, 15, 9, 16, 10, 17, 9, 18, 9, 18, 9, 18, 8, 17, 7, 17, 6, 16, 5, 16, 4, 15, 3, 14, 2, 13, 2, 13, 1, 12, 1, 11, 1, 11, 0, 10, -1, 10, -1, 9, -2, 8, -2, 8, -3, 7,
-3, 7, -2, 7, -2, 7, -1, 7, -1, 6, 0, 6, 0, 6, 1, 5, 2, 5, 3, 4, 4, 4, 5, 4, 7, 4, 8, 4, 10, 3, 12, 3, 13, 3, 14, 3, 15, 3, 15, 3, 16, 3, 17, 3, 17, 2, 18, 2, 18, 2, 17, 2, 16, 1, 14, 1, 12, 0, 10, -1, 8, -3, 6, -4,
4, -5, 1, -6, -1, -7, -3, -8, -5, -9, -8, -10, -9, -11, -11, -12, -13, -12, -14, -12, -15, -12, -16, -12, -16, -12, -16, -12, -16, -11, -15, -11, -14, -10, -12, -9, -11, -8, -10, -7, -9, -6, -7, -5, -5, -4, -3, -3, -1, -2, 1, -1, 4, 0, 6, 1, 7, 2, 9, 3, 11, 4, 12, 5,
13, 6, 14, 6, 14, 7, 14, 7, 14, 8, 14, 8, 13, 8, 12, 8, 10, 7, 8, 6, 6, 5, 3, 4, 1, 3, -2, 1, -5, 0, -8, -2, -10, -3, -12, -4, -14, -5, -15, -6, -16, -7, -17, -8, -17, -8, -17, -8, -17, -8, -16, -8, -15, -8, -14, -7, -12, -6, -10, -6, -7, -5, -5, -4,
-2, -3, 1, -2, 3, -1, 5, 0, 8, 1, 10, 2, 13, 2, 15, 3, 18, 4, 20, 5, 22, 6, 24, 7, 25, 8, 26, 8, 26, 9, 27, 10, 27, 11, 27, 11, 28, 12, 27, 12, 26, 13, 25, 13, 23, 13, 21, 12, 18, 11, 16, 10, 13, 9, 10, 8, 7, 7, 4, 5, 2, 4, -1, 3,
-3, 2, -5, 0, -7, -1, -9, -2, -10, -3, -12, -4, -12, -5, -13, -6, -13, -6, -12, -7, -11, -7, -10, -7, -8, -7, -7, -7, -5, -7, -4, -7, -2, -7, -1, -7, 1, -8, 2, -8, 3, -8, 4, -8, 5, -8, 5, -8, 5, -8, 5, -8, 5, -8, 4, -8, 3, -8, 2, -8, 1, -8, 0, -7,
-2, -7, -3, -7, -5, -6, -7, -6, -9, -6, -12, -6, -14, -6, -17, -6, -19, -6, -21, -6, -23, -6, -25, -6, -27, -6, -28, -6, -30, -6, -30, -6, -31, -6, -31, -6, -30, -5, -30, -5, -29, -5, -28, -4, -26, -3, -24, -2, -22, -1, -19, -1, -16, 0, -13, 1, -11, 2, -8, 2, -6, 3, -4, 3,
-2, 4, 0, 4, 2, 4, 4, 5, 5, 5, 6, 5, 7, 5, 7, 5, 7, 5, 7, 5, 6, 4, 6, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 5, 3, 5, 2, 5, 1, 5, 0, 4, -1, 4, -2, 3, -3, 3, -3, 2, -4, 2, -4, 1, -4, 0, -5, 0, -5, -1, -4, -1, -4, -2,
-4, -2, -3, -2, -2, -3, -1, -3, 1, -3, 3, -2, 5, -2, 7, -1, 10, 0, 12, 1, 15, 2, 17, 3, 20, 4, 22, 6, 24, 7, 26, 8, 28, 10, 29, 11, 30, 12, 30, 13, 30, 14, 30, 15, 29, 16, 28, 16, 27, 17, 26, 17, 25, 18, 23, 18, 22, 18, 20, 19, 18, 19, 16, 19,
14, 18, 12, 17, 10, 16, 8, 15, 7, 14, 5, 13, 4, 11, 2, 10, 1, 9, 0, 7, 0, 6, -1, 4, -1, 2, -1, 1, -2, -1, -2, -2, -3, -4, -3, -5, -3, -6, -3, -7, -2, -8, -1, -9, 0, -9, 0, -10, 1, -10, 1, -11, 1, -11, 1, -12, 1, -12, 2, -12, 2, -12, 3, -11,
3, -11, 3, -11, 3, -10, 3, -10, 2, -9, 1, -9, 1, -9, 0, -8, -1, -8, -2, -7, -2, -7, -3, -6, -3, -6, -4, -6, -5, -5, -6, -5, -7, -5, -8, -6, -9, -6, -9, -6, -10, -6, -10, -7, -11, -7, -11, -7, -12, -7, -12, -8, -13, -8, -13, -8, -14, -9, -14, -9, -14, -9, -14, -9,
-14, -9, -14, -9, -14, -9, -13, -8, -13, -8, -12, -8, -12, -7, -11, -7, -10, -6, -9, -6, -8, -5, -6, -4, -5, -3, -3, -2, -2, -1, -1, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 3, 4, 3, 3, 2, 3, 1, 2,
0, 1, -1, 0, -2, 0, -3, -1, -4, -2, -4, -2, -4, -2, -5, -3, -5, -3, -5, -4, -6, -4, -6, -4, -7, -4, -7, -4, -7, -4, -6, -4, -6, -4, -5, -3, -4, -3, -4, -2, -3, -2, -2, -2, -2, -1, -1, -1, 0, 0, 2, 1, 3, 1, 5, 2, 6, 3, 8, 3, 9, 4, 10, 5,
11, 5, 12, 6, 13, 6, 13, 6, 14, 6, 14, 7, 14, 6, 14, 6, 13, 6, 12, 5, 10, 4, 8, 3, 6, 2, 4, 1, 2, -1, 0, -2, -2, -4, -4, -5, -6, -6, -8, -7, -10, -8, -12, -10, -14, -11, -15, -12, -16, -13, -18, -13, -18, -14, -19, -14, -18, -14, -18, -14, -17, -14, -16, -14,
-15, -13, -14, -12, -13, -12, -12, -11, -10, -11, -8, -10, -6, -9, -4, -8, -2, -7, 0, -6, 2, -5, 4, -3, 5, -2, 6, -1, 8, 0, 9, 0, 10, 1, 10, 2, 11, 3, 11, 4, 10, 4, 10, 5, 9, 5, 7, 5, 6, 5, 4, 4, 2, 4, 0, 3, -2, 3, -5, 2, -7, 2, -8, 1,
-10, 1, -11, 1, -12, 0, -13, 0, -13, 0, -13, 0, -13, 0, -12, 1, -12, 1, -10, 2, -9, 3, -7, 4, -5, 5, -2, 6, 0, 6, 3, 7, 5, 8, 7, 8, 9, 9, 12, 9, 14, 10, 17, 10, 19, 11, 21, 11, 24, 12, 25, 12, 27, 12, 27, 12, 28, 12, 28, 12, 29, 12, 29, 12,
29, 12, 29, 12, 28, 12, 27, 11, 25, 11, 23, 10, 21, 9, 19, 8, 16, 7, 13, 6, 11, 4, 8, 3, 5, 2, 3, 1, 1, 0, -1, -1, -3, -2, -5, -3, -7, -4, -8, -5, -9, -5, -10, -6, -10, -6, -10, -7, -9, -7, -7, -7, -6, -6, -5, -6, -3, -6, -2, -5, -1, -5, 1, -5,
2, -5, 4, -5, 5, -5, 7, -4, 8, -4, 8, -4, 9, -4, 9, -4, 9, -4, 8, -4, 8, -4, 7, -3, 6, -3, 5, -3, 3, -3, 2, -3, 0, -3, -2, -3, -4, -3, -7, -3, -9, -4, -12, -4, -14, -5, -16, -5, -19, -6, -21, -6, -23, -6, -25, -7, -27, -7, -28, -7, -29, -8, -29, -8,
-30, -9, -30, -9, -29, -10, -29, -10, -28, -10, -27, -10, -25, -10, -23, -10, -20, -9, -18, -9, -15, -9, -13, -9, -11, -9, -9, -9, -7, -9, -5, -9, -3, -8, -1, -8, 0, -8, 2, -8, 3, -8, 3, -7, 3, -7, 3, -7, 3, -7, 3, -7, 3, -6, 3, -6, 2, -5, 2, -5, 1, -4, 1, -4,
0, -3, 0, -3, -1, -2, -2, -2, -3, -1, -4, -1, -5, -1, -5, -1, -6, -1, -6, -1, -6, -1, -6, -1, -6, -1, -5, -1, -5, -1, -5, -1, -4, -1, -3, -2, -1, -1, 1, -1, 3, -1, 5, 0, 7, 0, 9, 1, 11, 1, 13, 2, 16, 2, 18, 3, 20, 3, 22, 4, 24, 5, 25, 6,
26, 6, 27, 7, 27, 7, 27, 8, 26, 8, 25, 8, 24, 8, 23, 8, 21, 8, 20, 8, 18, 8, 17, 8, 15, 8, 13, 7, 10, 7, 8, 6, 6, 5, 4, 4, 3, 3, 1, 2, -1, 1, -2, 0, -3, -1, -4, -2, -5, -3, -6, -4, -6, -5, -6, -6, -7, -7, -7, -8, -7, -9, -7, -10,
-7, -11, -7, -12, -6, -12, -6, -12, -5, -13, -4, -13, -3, -13, -2, -12, -2, -12, -2, -12, -1, -12, 0, -11, 0, -10, 1, -10, 1, -9, 2, -8, 2, -7, 2, -6, 1, -5, 1, -4, 1, -3, 0, -3, -1, -2, -1, -1, -2, 0, -2, 1, -3, 1, -4, 1, -5, 2, -5, 2, -6, 2, -7, 1,
-8, 1, -9, 1, -10, 0, -10, 0, -11, -1, -11, -1, -11, -2, -12, -2, -12, -3, -13, -4, -13, -5, -14, -6, -14, -6, -14, -7, -14, -8, -14, -8, -13, -9, -13, -9, -13, -9, -12, -9, -12, -9, -11, -9, -10, -9, -9, -9, -8, -8, -7, -8, -5, -7, -4, -6, -2, -5, -1, -4, 0, -2, 1, -1,
2, 0, 2, 1, 3, 2, 4, 2, 5, 3, 5, 4, 6, 5, 6, 5, 6, 6, 5, 6, 5, 7, 4, 7, 4, 7, 3, 7, 3, 7, 2, 7, 1, 6, 1, 6, 0, 6, 0, 6, -1, 6, -1, 6, -1, 6, -1, 6, -1, 5, -2, 5, -2, 5, -2, 5, -2, 5, -2, 5, -1, 5, -1, 5,
0, 5, 1, 5, 1, 5, 2, 5, 3, 5, 3, 5, 4, 6, 5, 6, 7, 6, 8, 6, 9, 7, 10, 7, 12, 7, 13, 7, 13, 7, 14, 7, 15, 7, 15, 6, 15, 6, 16, 6, 16, 5, 15, 4, 15, 4, 14, 3, 12, 1, 10, 0, 8, -1, 6, -3, 4, -4, 2, -6, 0, -7, -2, -9,
-4, -10, -6, -11, -8, -12, -10, -14, -11, -15, -13, -16, -14, -17, -16, -17, -16, -18, -17, -18, -17, -18, -17, -18, -16, -18, -15, -17, -14, -17, -13, -16, -12, -15, -11, -14, -10, -13, -9, -12, -7, -11, -5, -9, -3, -8, 0, -7, 1, -5, 3, -4, 5, -2, 6, -1, 7, 0, 8, 1, 10, 2, 10, 3,
11, 4, 11, 5, 11, 5, 11, 6, 10, 6, 8, 6, 7, 5, 5, 5, 4, 4, 2, 3, -1, 2, -3, 1, -5, 0, -7, -1, -8, -1, -10, -2, -11, -3, -12, -4, -13, -4, -14, -5, -14, -6, -14, -6, -14, -6, -13, -6, -12, -6, -10, -6, -9, -6, -7, -5, -5, -5, -3, -5, -1, -5, 1, -4,
4, -4, 6, -4, 8, -3, 10, -3, 12, -2, 14, -2, 17, -1, 18, -1, 20, -1, 21, 0, 22, 0, 23, 1, 23, 1, 23, 1, 24, 2, 24, 2, 23, 2, 23, 2, 22, 3, 20, 3, 18, 3, 16, 2, 14, 2, 12, 2, 9, 1, 7, 1, 5, 0, 2, 0, 0, -1, -2, -1, -4, -1, -5, -2,
-7, -2, -8, -2, -9, -3, -10, -3, -11, -3, -10, -3, -10, -3, -9, -3, -8, -3, -7, -3, -5, -2, -4, -2, -3, -2, -2, -2, 0, -2, 1, -2, 3, -3, 4, -3, 5, -3, 6, -3, 6, -3, 6, -3, 6, -4, 6, -4, 5, -5, 4, -5, 3, -6, 2, -6, 1, -6, -1, -7, -2, -7, -4, -8,
-6, -8, -9, -8, -11, -9, -14, -10, -16, -10, -19, -11, -21, -12, -23, -12, -25, -12, -27, -13, -29, -13, -30, -13, -31, -13, -32, -13, -32, -13, -32, -13, -32, -13, -32, -13, -31, -13, -29, -13, -28, -12, -26, -11, -23, -11, -21, -10, -18, -9, -16, -8, -13, -8, -11, -7, -9, -6, -6, -5, -4, -5, -2, -4,
0, -3, 2, -2, 3, -2, 4, -1, 5, 0, 6, 0, 6, 1, 6, 1, 6, 2, 6, 3, 6, 3, 5, 4, 5, 5, 5, 6, 4, 6, 3, 7, 3, 7, 2, 7, 1, 8, 0, 8, -1, 8, -2, 8, -2, 8, -3, 8, -3, 7, -3, 7, -3, 7, -3, 6, -3, 6, -2, 5, -2, 4, -1, 4,
0, 3, 1, 3, 3, 2, 5, 2, 7, 2, 9, 2, 11, 2, 13, 2, 15, 2, 17, 2, 19, 2, 21, 2, 23, 2, 24, 3, 26, 3, 26, 4, 27, 4, 27, 5, 27, 5, 26, 6, 25, 6, 24, 6, 23, 6, 22, 7, 21, 7, 19, 7, 18, 8, 16, 8, 14, 8, 12, 8, 10, 8, 8, 8,
7, 7, 5, 7, 4, 6, 3, 6, 2, 5, 1, 5, 0, 5, -1, 4, -1, 3, -1, 2, -2, 1, -2, 0, -2, 0, -2, -1, -2, -2, -2, -3, -2, -3, -1, -4, 0, -5, 0, -5, 1, -6, 1, -6, 2, -7, 2, -7, 2, -7, 3, -7, 3, -8, 3, -7, 4, -7, 4, -7, 4, -7, 3, -7,
3, -7, 2, -7, 2, -6, 1, -6, 0, -6, -1, -6, -1, -6, -2, -5, -3, -5, -4, -5, -5, -6, -6, -6, -7, -6, -8, -6, -9, -7, -10, -7, -11, -8, -12, -8, -12, -8, -12, -9, -13, -9, -13, -10, -13, -10, -14, -11, -14, -11, -15, -12, -15, -13, -15, -13, -15, -14, -15, -14, -14, -14, -14, -14,
-13, -14, -13, -14, -12, -14, -12, -13, -11, -13, -10, -12, -9, -11, -8, -11, -7, -10, -5, -8, -4, -7, -3, -6, -1, -4, 0, -3, 0, -2, 1, 0, 2, 1, 3, 2, 4, 3, 4, 4, 5, 5, 5, 6, 5, 6, 5, 7, 4, 7, 4, 7, 3, 7, 3, 7, 2, 6, 1, 6, 1, 5, 0, 5,
-1, 4, -2, 4, -2, 3, -3, 3, -3, 2, -4, 1, -4, 0, -4, -1, -5, -1, -5, -2, -5, -3, -5, -3, -5, -4, -5, -4, -5, -4, -4, -5, -4, -5, -4, -6, -3, -6, -3, -6, -2, -6, -1, -6, 0, -5, 1, -5, 3, -5, 4, -4, 5, -4, 6, -4, 7, -3, 8, -3, 9, -2, 10, -2,
11, -2, 11, -1, 11, -1, 11, -1, 11, -1, 11, -1, 10, -1, 9, -1, 7, -2, 5, -2, 4, -3, 2, -4, 0, -4, -2, -5, -4, -6, -6, -6, -7, -7, -9, -8, -11, -8, -12, -9, -14, -10, -15, -10, -16, -10, -17, -11, -17, -11, -17, -11, -17, -10, -16, -10, -15, -10, -15, -9, -14, -9, -13, -8,
-12, -7, -10, -7, -9, -6, -7, -5, -5, -5, -3, -4, -1, -3, 1, -2, 2, -1, 4, 0, 5, 1, 6, 2, 7, 2, 8, 3, 9, 3, 10, 4, 10, 4, 10, 4, 9, 4, 8, 4, 7, 3, 6, 3, 4, 2, 2, 1, 0, 0, -1, -1, -3, -2, -5, -2, -7, -3, -9, -4, -10, -4, -11, -5,
-12, -5, -13, -5, -13, -6, -13, -6, -13, -6, -13, -6, -12, -5, -10, -5, -9, -4, -7, -3, -5, -2, -3, -1, -1, -1, 2, 0, 4, 1, 6, 2, 8, 3, 11, 4, 13, 5, 16, 6, 18, 7, 20, 8, 22, 9, 24, 9, 25, 10, 26, 11, 27, 11, 27, 12, 28, 12, 28, 13, 28, 13, 27, 13,
26, 13, 25, 13, 24, 13, 22, 13, 20, 12, 17, 12, 15, 11, 12, 10, 10, 9, 8, 8, 5, 8, 3, 7, 1, 6, -1, 5, -3, 4, -4, 3, -5, 2, -7, 1, -7, 0, -8, 0, -8, -1, -7, -2, -6, -2, -5, -3, -4, -3, -3, -3, -2, -4, -1, -4, 1, -5, 2, -5, 3, -5, 5, -6,
6, -6, 7, -6, 8, -6, 8, -7, 8, -7, 8, -7, 7, -7, 6, -8, 6, -8, 5, -8, 4, -9, 2, -9, 1, -9, -1, -9, -3, -9, -5, -9, -8, -9, -10, -9, -12, -9, -15, -9, -17, -9, -19, -10, -21, -10, -23, -10, -25, -9, -26, -9, -27, -9, -28, -9, -29, -9, -29, -9, -29, -9, -29, -9,
-28, -8, -27, -8, -26, -8, -24, -7, -22, -7, -20, -6, -18, -6, -15, -5, -13, -5, -11, -5, -8, -5, -6, -4, -4, -4, -2, -4, 0, -4, 1, -4, 3, -4, 4, -4, 5, -4, 5, -4, 5, -4, 5, -4, 5, -4, 5, -4, 4, -4, 4, -3, 3, -3, 3, -3, 2, -3, 1, -3, 0, -3, -1, -3,
-2, -3, -3, -3, -4, -3, -5, -3, -5, -3, -6, -3, -6, -3, -6, -3, -6, -3, -6, -3, -6, -3, -6, -4, -5, -4, -5, -4, -4, -5, -3, -5, -1, -5, 1, -5, 3, -5, 5, -4, 7, -4, 9, -3, 11, -3, 13, -2, 15, -2, 17, -1, 19, -1, 20, 0, 22, 1, 23, 2, 24, 3, 24, 4,
24, 4, 24, 5, 23, 6, 22, 6, 22, 7, 21, 7, 19, 8, 18, 8, 17, 9, 15, 9, 13, 9, 11, 9, 10, 9, 8, 9, 6, 8, 5, 8, 3, 7, 2, 7, 1, 6, 0, 6, -1, 5, -2, 4, -2, 3, -3, 2, -3, 1, -3, 0, -4, -1, -4, -3, -4, -4, -4, -5, -4, -6, -4, -7,
-4, -8, -3, -9, -3, -10, -2, -11, -2, -12, -2, -12, -2, -13, -2, -13, -2, -13, -1, -14, -1, -13, -1, -13, -1, -13, -1, -13, -1, -12, -2, -12, -2, -12, -3, -11, -3, -11, -4, -10, -4, -9, -5, -9, -6, -8, -6, -7, -7, -7, -7, -6, -8, -6, -9, -5, -9, -5, -10, -4, -10, -4, -11, -3,
-11, -3, -11, -3, -11, -3, -11, -3, -11, -3, -11, -3, -12, -3, -12, -3, -12, -3, -12, -3, -12, -4, -12, -4, -11, -4, -11, -4, -11, -4, -10, -4, -10, -4, -9, -4, -9, -4, -9, -4, -8, -4, -7, -3, -6, -3, -5, -2, -3, -1, -2, -1, -1, 0, 0, 1, 1, 2, 2, 3, 2, 4, 3, 4,
4, 5, 5, 6, 5, 6, 6, 7, 6, 7, 6, 7, 6, 8, 5, 8, 5, 7, 5, 7, 4, 7, 4, 6, 3, 6, 2, 5, 2, 5, 1, 4, 0, 4, 0, 4, -1, 3, -1, 3, -2, 2, -2, 1, -2, 1, -3, 0, -3, 0, -3, 0, -3, 0, -3, -1, -3, -1, -2, -1, -2, -1, -1, -1,
-1, -1, 0, 0, 1, 0, 2, 0, 3, 1, 4, 1, 6, 2, 7, 2, 8, 3, 10, 4, 11, 4, 12, 5, 14, 5, 15, 6, 15, 7, 16, 7, 17, 8, 17, 8, 17, 8, 17, 8, 16, 8, 15, 7, 14, 7, 12, 6, 10, 5, 8, 4, 6, 3, 4, 2, 2, 1, 0, -1, -2, -2, -4, -3,
-6, -4, -8, -5, -9, -6, -11, -8, -13, -9, -14, -10, -15, -10, -16, -11, -16, -12, -16, -12, -16, -13, -15, -13, -15, -13, -14, -13, -13, -13, -12, -13, -11, -13, -9, -12, -8, -12, -6, -11, -4, -10, -2, -9, 0, -9, 1, -8, 3, -7, 4, -6, 5, -5, 7, -4, 8, -4, 9, -3, 9, -2, 9, -2,
9, -1, 8, -1, 8, 0, 7, 0, 5, 0, 4, -1, 2, -1, 0, -1, -1, -2, -3, -2, -5, -2, -7, -3, -8, -3, -10, -3, -11, -3, -12, -3, -13, -3, -13, -3, -13, -3, -13, -3, -12, -3, -11, -2, -10, -2, -9, -1, -7, -1, -5, 0, -3, 0, -1, 1, 1, 1, 3, 1, 5, 2, 8, 2,
10, 3, 12, 3, 14, 4, 17, 4, 19, 4, 20, 4, 22, 4, 23, 4, 23, 4, 24, 5, 24, 5, 24, 4, 24, 4, 23, 4, 23, 4, 21, 4, 20, 3, 18, 3, 16, 2, 14, 1, 11, 1, 9, 0, 7, -1, 4, -1, 2, -2, -1, -3, -3, -3, -5, -4, -6, -5, -8, -5, -9, -6, -10, -6,
-11, -7, -12, -7, -12, -7, -11, -8, -10, -8, -9, -7, -8, -7, -7, -7, -5, -7, -4, -7, -3, -6, -1, -6, 0, -6, 2, -6, 3, -5, 5, -5, 6, -5, 7, -5, 7, -4, 7, -4, 7, -4, 6, -4, 6, -4, 5, -4, 4, -4, 3, -4, 1, -3, 0, -3, -2, -3, -4, -3, -6, -3, -9, -3,
-11, -4, -14, -4, -16, -4, -18, -4, -20, -5, -22, -5, -24, -5, -26, -5, -27, -5, -28, -6, -29, -6, -30, -6, -30, -6, -30, -7, -29, -7, -28, -7, -27, -8, -26, -8, -24, -7, -22, -7, -20, -7, -18, -7, -15, -8, -13, -8, -11, -8, -9, -8, -7, -8, -5, -7, -3, -7, -1, -7, 1, -7, 2, -7,
3, -7, 4, -7, 4, -6, 5, -6, 5, -6, 4, -6, 4, -5, 4, -5, 4, -4, 3, -3, 2, -2, 2, -2, 1, -1, 0, 0, 0, 1, -1, 1, -2, 2, -2, 3, -3, 4, -3, 4, -3, 5, -3, 5, -3, 6, -3, 6, -2, 7, -2, 7, -1, 7, -1, 7, 0, 7, 1, 7, 3, 7, 5, 8,
7, 8, 9, 8, 11, 8, 12, 8, 14, 8, 16, 8, 18, 8, 19, 8, 21, 8, 23, 9, 24, 9, 25, 9, 26, 9, 26, 10, 26, 10, 26, 10, 25, 10, 24, 10, 23, 10, 22, 10, 21, 10, 20, 9, 19, 9, 17, 9, 15, 9, 14, 9, 12, 8, 10, 8, 9, 7, 7, 7, 6, 6, 5, 5,
4, 5, 3, 4, 2, 4, 2, 3, 1, 3, 1, 2, 0, 1, 0, 0, 0, -1, -1, -2, -1, -3, -1, -4, -1, -4, -1, -5, 0, -6, 0, -6, 0, -7, 0, -7, 1, -8, 1, -8, 1, -9, 1, -9, 1, -9, 1, -9, 1, -9, 1, -9, 1, -8, 1, -8, 1, -8, 1, -7, 0, -7, 0, -6,
-1, -6, -1, -5, -2, -5, -2, -4, -3, -3, -3, -3, -4, -2, -5, -2, -5, -2, -6, -2, -7, -1, -7, -1, -8, -1, -8, -1, -9, -1, -9, -2, -9, -2, -10, -2, -10, -2, -10, -3, -10, -3, -11, -4, -11, -5, -12, -6, -12, -6, -12, -7, -12, -8, -12, -9, -12, -10, -12, -10, -12, -11, -12, -11,
-12, -12, -12, -12, -12, -12, -11, -12, -10, -12, -10, -12, -8, -11, -7, -11, -6, -10, -5, -9, -4, -8, -3, -7, -2, -7, -1, -6, 0, -5, 1, -4, 1, -3, 2, -2, 3, -1, 3, 0, 4, 1, 4, 1, 4, 2, 4, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 4, 1, 4, 1, 4, 0, 4,
0, 4, -1, 4, -1, 4, -2, 4, -2, 4, -3, 3, -3, 3, -4, 3, -4, 3, -4, 2, -4, 2, -4, 2, -4, 2, -3, 2, -3, 1, -3, 1, -2, 1, -1, 0, 0, 0, 1, 0, 2, 1, 3, 1, 5, 1, 6, 1, 7, 1, 9, 1, 10, 1, 11, 1, 12, 1, 13, 1, 14, 1, 14, 1,
14, 1, 14, 1, 14, 0, 13, 0, 12, -1, 11, -1, 9, -2, 7, -3, 5, -4, 3, -4, 1, -5, -1, -6, -3, -7, -5, -8, -7, -9, -9, -9, -11, -10, -13, -11, -15, -12, -16, -12, -18, -13, -18, -13, -19, -13, -19, -13, -19, -13, -18, -13, -18, -13, -17, -12, -16, -12, -15, -11, -13, -10, -12, -10,
-10, -9, -8, -8, -6, -7, -4, -6, -2, -5, 1, -4, 2, -2, 4, -1, 6, 0, 7, 1, 8, 2, 9, 3, 10, 4, 11, 4, 11, 5, 11, 6, 10, 6, 9, 6, 8, 6, 7, 6, 5, 6, 4, 5, 2, 5, 0, 4, -2, 4, -4, 3, -6, 3, -7, 2, -9, 2, -10, 2, -11, 1, -12, 1,
-13, 0, -13, 0, -13, 0, -12, 0, -11, 0, -10, 0, -8, 0, -7, 0, -5, 0, -3, 0, -1, 1, 1, 1, 4, 1, 6, 1, 8, 1, 11, 2, 13, 2, 16, 3, 18, 3, 20, 3, 21, 3, 23, 3, 24, 4, 25, 4, 25, 4, 25, 5, 25, 5, 25, 5, 24, 6, 24, 6, 22, 6, 21, 6,
19, 6, 17, 6, 15, 6, 13, 6, 11, 6, 8, 6, 6, 6, 4, 6, 2, 5, 0, 5, -2, 5, -3, 5, -5, 4, -6, 4, -6, 4, -7, 4, -7, 3, -7, 3, -6, 3, -5, 3, -4, 3, -3, 3, -1, 2, 0, 2, 1, 2, 3, 2, 4, 2, 5, 1, 7, 1, 8, 1, 9, 0, 10, 0,
11, 0, 11, -1, 11, -1, 10, -2, 9, -2, 8, -3, 7, -3, 6, -4, 4, -4, 3, -5, 1, -5, -2, -5, -4, -6, -6, -6, -9, -7, -11, -7, -14, -7, -16, -8, -18, -8, -20, -9, -22, -9, -24, -9, -25, -9, -26, -9, -27, -9, -28, -9, -28, -9, -29, -10, -28, -10, -28, -10, -27, -10, -25, -10,
-24, -10, -22, -9, -20, -9, -18, -9, -16, -8, -13, -8, -11, -8, -9, -8, -7, -7, -5, -7, -3, -7, -1, -6, 1, -6, 2, -6, 3, -5, 4, -5, 5, -5, 5, -4, 5, -4, 5, -4, 5, -3, 4, -3, 4, -2, 3, -2, 3, -1, 2, 0, 1, 0, 1, 1, 0, 1, -1, 2, -2, 2, -2, 3,
-3, 3, -3, 3, -4, 4, -4, 4, -4, 4, -4, 4, -3, 4, -3, 4, -2, 4, -2, 4, -1, 3, 0, 3, 1, 2, 2, 2, 3, 1, 5, 1, 6, 0, 8, 0, 10, 0, 11, -1, 12, -1, 14, -1, 15, -1, 16, -1, 18, -1, 19, -1, 19, -1, 20, -1, 20, -1, 20, -1, 20, 0, 19, 0,
18, 0, 17, 0, 17, 1, 16, 1, 15, 1, 13, 1, 12, 2, 11, 2, 10, 3, 9, 3, 7, 3, 6, 3, 5, 4, 4, 3, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 3, 0, 3, 0, 3, 0, 2, 0, 1, -1, 1, -1, 0, -1, 0, -1, -1, -1, -1, -1, -2, -1, -3,
-1, -3, -1, -4, -1, -5, -1, -5, -2, -6, -2, -6, -2, -6, -2, -6, -2, -7, -2, -7, -2, -7, -3, -7, -3, -7, -3, -7, -4, -7, -4, -7, -4, -7, -5, -7, -5, -7, -6, -6, -6, -6, -7, -6, -7, -6, -8, -6, -8, -6, -9, -6, -9, -6, -9, -6, -10, -6, -10, -7, -10, -7, -11, -7,
-11, -7, -11, -7, -11, -7, -12, -7, -12, -8, -12, -8, -13, -8, -13, -9, -13, -9, -14, -9, -13, -10, -13, -10, -13, -10, -13, -10, -13, -9, -13, -9, -12, -9, -12, -9, -11, -8, -10, -7, -9, -7, -8, -6, -7, -5, -5, -4, -4, -3, -2, -1, -1, 0, 0, 1, 1, 2, 3, 4, 4, 5, 5, 6,
6, 7, 7, 8, 8, 9, 8, 10, 9, 10, 9, 11, 9, 11, 8, 11, 8, 12, 8, 11, 7, 11, 6, 11, 6, 11, 5, 11, 4, 11, 3, 10, 2, 10, 2, 9, 1, 9, 0, 8, -1, 7, -2, 7, -2, 6, -3, 6, -3, 5, -3, 4, -3, 4, -3, 3, -3, 3, -2, 2, -2, 1, -1, 1,
0, 0, 1, 0, 2, 0, 4, 0, 5, 0, 7, 0, 8, 0, 10, 0, 11, 0, 13, 0, 14, 0, 15, 0, 16, 0, 17, 0, 18, 1, 18, 1, 18, 1, 18, 1, 17, 1, 16, 1, 15, 1, 13, 1, 11, 0, 9, 0, 7, 0, 5, -1, 2, -1, 0, -1, -2, -2, -4, -2, -6, -2, -8, -3,
-10, -3, -11, -3, -13, -4, -14, -4, -15, -4, -15, -4, -15, -4, -15, -5, -15, -5, -14, -5, -13, -5, -12, -5, -11, -4, -10, -4, -9, -4, -7, -4, -5, -4, -3, -3, -1, -3, 1, -3, 3, -3, 4, -2, 6, -2, 7, -2, 8, -2, 9, -1, 10, -1, 10, -1, 10, -1, 10, -1, 10, -1, 9, -1,
8, -2, 6, -2, 4, -2, 3, -3, 1, -3, -1, -4, -3, -4, -5, -5, -7, -5, -9, -5, -11, -6, -12, -6, -14, -6, -15, -6, -16, -6, -16, -6, -16, -6, -16, -6, -15, -6, -14, -5, -12, -5, -10, -4, -9, -3, -7, -3, -4, -2, -2, -2, 0, -1, 2, -1, 5, 0, 8, 0, 10, 1, 12, 1,
15, 2, 17, 2, 18, 3, 20, 3, 21, 3, 22, 4, 23, 4, 24, 4, 24, 5, 23, 5, 23, 5, 22, 6, 21, 6, 19, 6, 18, 6, 16, 6, 14, 6, 12, 5, 9, 5, 7, 5, 5, 5, 3, 4, 1, 4, -1, 3, -3, 3, -5, 2, -6, 2, -7, 1, -8, 0, -9, 0, -10, -1, -10, -2,
-9, -2, -9, -3, -8, -3, -7, -4, -6, -5, -4, -5, -3, -6, -2, -6, -1, -7, 0, -7, 2, -7, 3, -8, 4, -8, 5, -9, 6, -9, 6, -9, 6, -9, 6, -10, 5, -10, 4, -10, 3, -10, 2, -10, 1, -10, 0, -10, -2, -10, -4, -10, -5, -9, -7, -9, -9, -9, -12, -8, -14, -8, -16, -8,
-18, -7, -20, -7, -21, -7, -22, -6, -24, -6, -24, -5, -25, -5, -26, -4, -26, -4, -26, -4, -26, -4, -26, -3, -25, -3, -24, -3, -22, -3, -21, -3, -19, -3, -17, -2, -15, -2, -13, -2, -11, -2, -10, -2, -8, -3, -6, -3, -4, -3, -2, -3, -1, -3, 1, -3, 2, -3, 3, -3, 3, -3, 4, -3,
4, -3, 4, -4, 4, -4, 3, -4, 3, -3, 3, -3, 2, -3, 2, -3, 1, -2, 1, -2, 0, -2, -1, -1, -1, -1, -1, 0, -2, 0, -2, 1, -2, 1, -2, 2, -2, 2, -2, 3, -2, 3, -1, 3, 0, 3, 0, 3, 1, 4, 2, 4, 2, 4, 3, 4, 5, 4, 6, 4, 7, 4, 9, 4,
10, 4, 12, 4, 13, 4, 14, 4, 15, 4, 16, 5, 18, 5, 19, 5, 20, 6, 20, 6, 21, 7, 21, 7, 21, 8, 21, 8, 21, 8, 20, 9, 20, 9, 19, 10, 19, 10, 18, 10, 17, 10, 16, 11, 15, 11, 14, 11, 13, 11, 12, 11, 11, 11, 10, 11, 9, 10, 8, 10, 8, 9, 7, 9,
7, 8, 6, 8, 5, 7, 5, 7, 4, 6, 4, 5, 3, 4, 2, 3, 2, 2, 1, 1, 1, 0, 0, -1, 0, -2, 0, -3, -1, -4, -1, -5, -2, -5, -2, -6, -3, -7, -3, -8, -3, -8, -3, -9, -3, -9, -3, -9, -3, -9, -3, -9, -3, -10, -3, -10, -4, -10, -4, -10, -4, -10, -4, -9,
-4, -9, -4, -9, -4, -8, -4, -8, -5, -8, -5, -7, -5, -7, -5, -7, -6, -7, -6, -6, -7, -6, -7, -6, -8, -6, -8, -5, -9, -5, -9, -5, -9, -5, -10, -5, -10, -5, -11, -5, -12, -5, -12, -5, -13, -5, -13, -5, -14, -6, -14, -6, -14, -6, -14, -6, -14, -6, -14, -6, -14, -6, -14, -6,
-13, -6, -13, -6, -12, -6, -11, -6, -10, -5, -8, -5, -7, -4, -5, -4, -4, -3, -3, -3, -1, -2, 0, -2, 1, -1, 2, -1, 4, 0, 5, 0, 6, 0, 6, 1, 7, 1, 7, 1, 7, 1, 6, 1, 6, 1, 5, 1, 5, 1, 4, 1, 3, 0, 2, 0, 1, 0, 0, 0, -1, 0, -2, 0,
-3, 0, -4, 0, -5, 0, -5, -1, -6, -1, -7, -1, -7, -1, -7, -1, -7, -1, -6, -1, -6, -1, -6, -1, -5, -1, -4, -1, -3, -1, -2, -1, -1, -1, 1, -1, 3, 0, 5, 0, 6, 0, 8, 0, 10, 0, 11, 1, 13, 1, 14, 1, 16, 1, 17, 1, 18, 2, 18, 2, 18, 2, 18, 2,
17, 2, 16, 2, 15, 2, 14, 2, 12, 1, 10, 1, 8, 1, 5, 0, 3, 0, 1, -1, -2, -1, -4, -1, -6, -2, -8, -2, -10, -3, -12, -3, -13, -4, -15, -4, -16, -5, -17, -5, -17, -6, -17, -6, -17, -7, -17, -7, -16, -7, -15, -8, -14, -8, -13, -8, -12, -8, -10, -8, -9, -8, -7, -8,
-5, -8, -3, -8, -1, -8, 1, -8, 2, -8, 3, -8, 5, -8, 5, -7, 6, -7, 7, -7, 7, -7, 8, -6, 8, -6, 7, -5, 6, -5, 5, -5, 4, -4, 3, -4, 1, -4, -1, -3, -2, -3, -4, -3, -6, -3, -7, -2, -9, -2, -10, -1, -12, -1, -12, 0, -13, 0, -14, 1, -14, 1, -14, 2,
-13, 2, -12, 3, -11, 3, -9, 4, -8, 4, -6, 5, -4, 6, -2, 6, 0, 6, 3, 6, 5, 7, 7, 7, 10, 7, 12, 7, 14, 7, 16, 7, 18, 7, 19, 7, 21, 6, 22, 6, 22, 6, 23, 6, 23, 5, 23, 5, 22, 5, 22, 5, 21, 5, 20, 5, 18, 4, 17, 4, 15, 4, 13, 4,
11, 4, 9, 3, 7, 3, 5, 3, 3, 3, 2, 3, 0, 2, -2, 2, -3, 2, -4, 2, -5, 1, -6, 1, -6, 0, -6, 0, -6, 0, -6, -1, -6, -1, -5, -1, -4, -1, -2, -2, -1, -2, 0, -2, 1, -2, 2, -2, 3, -3, 4, -3, 5, -3, 6, -3, 7, -3, 8, -3, 8, -3, 8, -3,
8, -3, 7, -3, 7, -3, 6, -3, 5, -3, 4, -3, 3, -3, 1, -3, 0, -2, -2, -2, -4, -2, -6, -2, -7, -2, -9, -2, -11, -2, -13, -2, -14, -2, -16, -2, -17, -2, -18, -2, -19, -2, -20, -2, -21, -2, -21, -2, -22, -2, -22, -3, -22, -3, -21, -4, -21, -4, -20, -5, -19, -5, -18, -6,
-16, -6, -15, -6, -14, -7, -12, -7, -11, -8, -9, -8, -8, -9, -6, -9, -5, -9, -4, -9, -3, -9, -2, -9, -1, -9, 0, -10, 0, -10, 1, -10, 1, -10, 1, -9, 1, -9, 1, -9, 1, -8, 1, -7, 1, -7, 0, -6, 0, -5, 0, -4, 0, -3, -1, -3, -1, -2, -1, -1, -1, 0, -1, 1,
-1, 2, -1, 2, -1, 3, 0, 4, 0, 4, 1, 5, 1, 5, 2, 6, 2, 6, 3, 6, 3, 6, 4, 6, 5, 6, 6, 6, 7, 6, 8, 6, 9, 6, 10, 6, 11, 5, 12, 5, 13, 5, 14, 5, 14, 5, 15, 5, 16, 5, 17, 5, 17, 5, 17, 5, 17, 4, 17, 4, 17, 4, 16, 4,
16, 4, 15, 4, 15, 3, 14, 3, 13, 3, 13, 2, 12, 2, 11, 2, 10, 1, 9, 1, 8, 0, 7, 0, 6, -1, 5, -1, 4, -2, 3, -2, 3, -2, 2, -3, 1, -3, 0, -3, 0, -4, -1, -4, -2, -5, -3, -5, -3, -6, -4, -6, -4, -6, -5, -6, -5, -6, -5, -7, -6, -7, -6, -7,
-6, -7, -6, -7, -6, -7, -6, -7, -6, -7, -6, -7, -5, -7, -5, -7, -4, -6, -4, -6, -4, -6, -4, -6, -3, -5, -3, -5, -3, -5, -3, -5, -2, -4, -3, -4, -3, -4, -3, -4, -3, -4, -4, -4, -4, -4, -5, -4, -5, -4, -6, -4, -6, -4, -7, -5, -8, -5, -9, -5, -9, -5, -10, -5,
-11, -5, -12, -5, -12, -6, -13, -6, -14, -6, -15, -6, -15, -7, -16, -7, -16, -7, -16, -8, -16, -8, -16, -8, -16, -8, -16, -8, -16, -8, -15, -8, -14, -8, -13, -8, -12, -8, -11, -7, -9, -7, -8, -6, -6, -6, -4, -6, -3, -5, -1, -4, 0, -4, 2, -3, 3, -3, 4, -2, 6, -1, 7, -1,
8, 0, 8, 1, 8, 1, 9, 2, 9, 2, 8, 3, 8, 3, 7, 3, 6, 4, 6, 4, 5, 5, 4, 5, 3, 6, 2, 6, 1, 7, 0, 7, 0, 7, -1, 8, -2, 8, -2, 8, -3, 9, -3, 9, -3, 9, -3, 9, -2, 9, -2, 9, -1, 9, 0, 9, 1, 9, 2, 9, 3, 8, 4, 8,
6, 8, 7, 7, 9, 7, 11, 6, 12, 6, 14, 6, 15, 5, 16, 4, 17, 4, 18, 3, 19, 3, 19, 2, 20, 2, 20, 1, 19, 1, 18, 1, 17, 0, 16, 0, 15, -1, 13, -1, 11, -2, 9, -2, 7, -2, 4, -3, 2, -3, 0, -3, -2, -3, -4, -3, -6, -3, -8, -4, -10, -4, -11, -4,
-12, -4, -13, -4, -14, -4, -14, -4, -14, -4, -14, -4, -14, -4, -13, -4, -12, -4, -11, -4, -10, -4, -9, -4, -7, -4, -6, -4, -4, -4, -3, -4, -1, -4, 1, -4, 2, -4, 3, -4, 5, -4, 6, -4, 6, -4, 7, -4, 7, -4, 8, -3, 8, -3, 8, -3, 7, -3, 6, -3, 5, -3, 4, -2,
3, -2, 1, -2, 0, -2, -2, -2, -4, -2, -5, -2, -7, -2, -9, -2, -10, -2, -11, -2, -12, -1, -13, -1, -14, -1, -14, -1, -14, -1, -14, -1, -13, -1, -13, -1, -11, -1, -10, -1, -8, -1, -7, 0, -5, 0, -3, 0, -1, -1, 1, -1, 2, -1, 5, -1, 7, -1, 9, -1, 10, -2, 12, -2,
13, -2, 15, -2, 15, -2, 16, -3, 17, -3, 17, -3, 17, -3, 17, -3, 17, -2, 16, -2, 16, -2, 15, -2, 13, -1, 12, -1, 11, -1, 9, 0, 8, 0, 6, 0, 5, 1, 3, 1, 2, 1, 0, 2, -1, 2, -2, 2, -3, 2, -4, 2, -5, 2, -5, 2, -5, 2, -6, 2, -6, 2, -5, 2,
-5, 1, -4, 1, -3, 1, -3, 0, -2, 0, -1, -1, 0, -1, 1, -1, 2, -2, 2, -2, 3, -3, 4, -3, 4, -3, 4, -4, 4, -4, 4, -5, 4, -5, 3, -5, 2, -6, 1, -6, 0, -7, -1, -7, -2, -7, -3, -7, -4, -7, -6, -8, -7, -8, -9, -8, -10, -8, -12, -8, -13, -8, -15, -8,
-16, -8, -17, -8, -18, -8, -19, -8, -20, -8, -21, -8, -21, -8, -22, -8, -22, -8, -22, -8, -22, -9, -22, -9, -21, -9, -20, -9, -19, -9, -18, -9, -17, -8, -16, -8, -14, -8, -13, -8, -11, -8, -10, -8, -8, -7, -7, -7, -5, -7, -4, -6, -3, -6, -2, -5, -1, -5, 0, -4, 1, -4, 2, -4,
2, -3, 2, -3, 3, -2, 3, -1, 3, -1, 3, 0, 3, 1, 3, 1, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 2, 5, 2, 6, 2, 6, 2, 7, 2, 7, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 4, 7, 4, 7, 4, 7, 5, 7, 6, 6, 6, 6, 7, 6, 8, 6,
9, 5, 10, 5, 10, 5, 11, 5, 12, 4, 13, 4, 14, 4, 15, 4, 16, 4, 16, 4, 17, 4, 17, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 17, 4, 17, 4, 17, 4, 16, 4, 15, 4, 15, 4, 14, 4, 13, 4, 12, 3, 11, 3, 10, 3, 9, 3, 8, 3, 7, 3, 7, 3,
6, 3, 5, 3, 4, 3, 3, 3, 2, 3, 1, 3, 0, 2, -1, 2, -1, 2, -2, 2, -2, 2, -3, 2, -3, 2, -3, 2, -4, 2, -4, 1, -4, 1, -4, 1, -4, 0, -4, 0, -3, 0, -3, 0, -2, 0, -2, -1, -1, -1, -1, -1, -1, -2, -1, -2, -1, -3, 0, -4, 0, -4, 0, -5,
0, -5, -1, -6, -1, -6, -2, -7, -2, -7, -3, -8, -4, -9, -5, -9, -5, -10, -6, -10, -7, -10, -8, -11, -9, -11, -10, -11, -11, -11, -12, -11, -13, -11, -14, -11, -15, -11, -15, -11, -16, -11, -17, -10, -17, -10, -17, -10, -17, -9, -17, -9, -17, -9, -17, -8, -16, -8, -16, -7, -15, -7, -14, -6,
-13, -6, -12, -5, -11, -5, -9, -4, -8, -4, -6, -3, -4, -2, -3, -2, -1, -1, 0, -1, 2, 0, 3, 0, 4, 1, 5, 1, 6, 1, 7, 2, 8, 2, 8, 2, 8, 2, 8, 2, 7, 2, 7, 3, 6, 3, 5, 3, 4, 3, 4, 3, 3, 3, 2, 3, 1, 3, 0, 3, -1, 3, -2, 3,
-3, 3, -4, 3, -4, 3, -5, 3, -5, 3, -5, 3, -5, 3, -4, 3, -4, 3, -3, 3, -3, 3, -2, 3, -1, 2, 0, 2, 1, 1, 2, 1, 4, 0, 6, 0, 7, -1, 9, -1, 10, -1, 11, -2, 12, -2, 13, -3, 14, -3, 15, -4, 15, -4, 16, -4, 16, -4, 15, -4, 15, -4, 14, -4,
13, -4, 12, -4, 10, -4, 9, -4, 7, -4, 5, -4, 3, -3, 1, -3, -1, -3, -3, -2, -4, -2, -6, -1, -7, -1, -9, -1, -10, 0, -11, 0, -12, 0, -12, 0, -13, 1, -13, 1, -13, 1, -12, 1, -12, 1, -11, 1, -10, 1, -9, 1, -8, 0, -7, 0, -6, 0, -5, -1, -4, -1, -2, -2,
-1, -2, 0, -3, 1, -3, 2, -4, 3, -4, 4, -5, 4, -5, 5, -6, 5, -6, 5, -6, 5, -7, 4, -7, 4, -7, 3, -7, 2, -7, 1, -7, 0, -7, -2, -7, -3, -7, -5, -7, -6, -7, -8, -7, -9, -7, -10, -6, -11, -6, -12, -5, -13, -5, -13, -5, -14, -4, -14, -4, -14, -3, -13, -3,
-12, -2, -11, -1, -10, -1, -8, 0, -7, 1, -5, 1, -3, 2, -2, 2, 0, 2, 2, 3, 4, 3, 6, 3, 8, 4, 10, 4, 12, 4, 14, 4, 15, 5, 16, 5, 17, 5, 18, 5, 19, 5, 19, 5, 19, 5, 19, 6, 19, 6, 18, 6, 18, 6, 17, 6, 16, 7, 15, 7, 14, 7, 12, 7,
11, 7, 10, 7, 8, 7, 7, 7, 6, 7, 4, 7, 3, 7, 2, 7, 1, 7, 0, 6, -1, 6, -1, 5, -2, 5, -2, 4, -2, 3, -2, 3, -2, 2, -2, 2, -1, 1, -1, 0, 0, 0, 0, -1, 1, -2, 1, -2, 2, -3, 2, -3, 3, -3, 3, -4, 4, -4, 4, -5, 4, -5, 4, -5,
4, -5, 3, -6, 2, -6, 2, -6, 1, -6, 0, -6, 0, -6, -1, -6, -2, -6, -3, -6, -5, -5, -6, -5, -7, -5, -8, -5, -9, -5, -11, -4, -12, -4, -13, -4, -14, -4, -15, -4, -15, -4, -16, -3, -16, -3, -17, -3, -17, -3, -18, -3, -18, -3, -17, -3, -17, -3, -16, -3, -15, -3, -15, -3,
-14, -3, -13, -3, -12, -3, -11, -3, -9, -3, -8, -3, -7, -3, -6, -3, -4, -3, -3, -3, -2, -3, -1, -3, 0, -3, 1, -3, 1, -3, 2, -3, 2, -3, 2, -3, 2, -3, 3, -3, 3, -3, 3, -3, 2, -3, 2, -2, 2, -2, 2, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -1, 0, -1,
0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 3, 2, 4, 2, 5, 3, 6, 3, 7, 3, 8, 4, 9, 4, 10, 4, 11, 5, 12, 5, 13, 6, 14, 6, 15, 6, 16, 6, 16, 7, 17, 7, 17, 7, 17, 7, 17, 7,
17, 7, 17, 7, 17, 6, 16, 6, 16, 6, 15, 5, 14, 5, 13, 4, 12, 4, 11, 3, 10, 3, 8, 2, 7, 2, 6, 1, 5, 1, 4, 0, 3, 0, 1, -1, 0, -1, -1, -1, -2, -2, -3, -2, -4, -2, -5, -3, -6, -3, -6, -3, -7, -3, -7, -4, -7, -4, -8, -4, -8, -4, -8, -4,
-8, -4, -7, -5, -7, -5, -7, -5, -6, -5, -5, -5, -5, -6, -4, -6, -4, -6, -3, -6, -3, -7, -2, -7, -2, -7, -2, -8, -2, -8, -2, -8, -2, -9, -2, -9, -2, -9, -3, -9, -3, -10, -4, -10, -5, -10, -5, -10, -6, -10, -7, -10, -8, -10, -9, -10, -10, -10, -11, -9, -11, -9, -12, -8,
-13, -8, -13, -7, -14, -7, -15, -6, -15, -5, -15, -5, -16, -4, -16, -4, -16, -3, -15, -2, -15, -2, -15, -1, -14, -1, -13, -1, -13, 0, -12, 0, -11, 0, -9, 1, -8, 1, -7, 1, -5, 1, -4, 2, -2, 2, -1, 2, 1, 2, 2, 2, 3, 2, 4, 1, 5, 1, 6, 1, 7, 1, 7, 1,
8, 0, 8, 0, 8, 0, 7, 0, 7, 0, 6, -1, 6, -1, 5, -1, 4, -1, 3, -1, 2, -1, 2, 0, 1, 0, 0, 1, -1, 1, -1, 2, -2, 2, -3, 2, -3, 3, -3, 4, -3, 4, -2, 5, -2, 5, -1, 6, 0, 7, 0, 7, 1, 7, 2, 8, 3, 8, 5, 8, 6, 8, 8, 8,
9, 8, 11, 8, 12, 7, 14, 7, 15, 7, 16, 7, 17, 6, 17, 6, 18, 6, 18, 5, 19, 5, 19, 5, 19, 4, 18, 4, 17, 4, 16, 4, 15, 3, 14, 3, 12, 3, 10, 3, 9, 3, 7, 2, 5, 2, 3, 2, 1, 2, -1, 2, -3, 2, -4, 2, -6, 2, -7, 2, -8, 2, -9, 2,
-10, 2, -10, 2, -11, 1, -11, 1, -10, 1, -10, 1, -10, 0, -9, 0, -8, 0, -8, -1, -7, -2, -6, -2, -5, -3, -4, -3, -3, -4, -1, -4, 0, -5, 1, -5, 2, -6, 2, -6, 3, -7, 3, -7, 4, -8, 4, -8, 4, -8, 4, -8, 4, -8, 4, -8, 3, -8, 2, -8, 1, -7, 0, -7,
-1, -7, -2, -6, -4, -6, -5, -6, -6, -5, -7, -5, -9, -4, -10, -4, -10, -3, -11, -2, -12, -1, -12, -1, -13, 0, -13, 0, -12, 1, -12, 1, -11, 2, -10, 3, -9, 3, -7, 4, -6, 4, -4, 4, -3, 5, -1, 5, 0, 5, 2, 5, 4, 5, 6, 5, 8, 5, 9, 4, 11, 4, 12, 4,
13, 4, 14, 3, 15, 3, 15, 2, 16, 2, 16, 1, 16, 1, 16, 1, 15, 1, 15, 0, 14, 0, 13, 0, 12, 0, 11, 0, 10, 0, 9, -1, 7, -1, 6, -1, 5, -1, 4, -1, 2, -1, 1, -1, 0, -1, -1, -1, -2, -1, -3, -2, -3, -2, -4, -2, -4, -2, -4, -2, -4, -2, -4, -2,
-4, -2, -4, -2, -3, -2, -3, -3, -2, -3, -2, -3, -1, -3, -1, -3, 0, -3, 1, -3, 1, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 1, -2, 1, -2, 0, -2, 0, -2, -1, -2, -2, -2, -3, -2, -4, -2, -5, -2, -6, -2, -7, -3, -8, -3, -10, -3, -11, -3,
-12, -4, -13, -4, -14, -4, -15, -4, -16, -4, -16, -5, -17, -5, -17, -5, -18, -6, -18, -6, -18, -6, -18, -7, -18, -7, -17, -7, -16, -7, -16, -7, -15, -7, -14, -7, -13, -7, -12, -7, -11, -7, -9, -7, -8, -7, -7, -6, -5, -6, -4, -6, -3, -6, -2, -5, -1, -5, 0, -5, 0, -5, 1, -4,
1, -4, 2, -4, 2, -3, 2, -3, 3, -3, 3, -2, 3, -2, 2, -1, 2, -1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 3, 7, 3, 7, 4, 8, 4, 8, 5, 9, 6, 9, 7, 9, 7, 10, 8, 10,
9, 10, 10, 11, 11, 11, 12, 11, 13, 11, 14, 12, 15, 12, 16, 12, 17, 12, 18, 12, 18, 12, 19, 11, 19, 11, 19, 11, 19, 10, 19, 10, 19, 9, 19, 8, 18, 8, 18, 7, 17, 6, 16, 5, 15, 4, 14, 3, 13, 3, 11, 2, 10, 1, 9, 0, 7, 0, 6, -1, 5, -1, 4, -2,
3, -2, 2, -2, 0, -2, -1, -2, -2, -3, -3, -3, -3, -3, -4, -2, -4, -2, -5, -2, -5, -1, -5, -1, -5, -1, -5, 0, -5, 0, -5, 0, -5, 0, -4, 1, -4, 1, -3, 1, -2, 1, -2, 1, -1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, -1, 2, -1,
2, -2, 1, -2, 1, -3, 0, -3, -1, -4, -1, -5, -2, -5, -3, -6, -4, -6, -5, -7, -6, -7, -7, -7, -8, -7, -10, -7, -11, -7, -11, -7, -12, -7, -13, -7, -14, -7, -15, -7, -15, -6, -15, -6, -16, -6, -16, -6, -16, -5, -16, -5, -15, -5, -15, -4, -15, -4, -14, -4, -13, -4, -12, -3,
-11, -3, -10, -3, -9, -3, -7, -3, -6, -3, -4, -2, -3, -2, -2, -2, 0, -2, 1, -2, 2, -2, 3, -2, 4, -2, 5, -2, 5, -2, 6, -2, 6, -2, 6, -2, 6, -2, 6, -2, 5, -2, 5, -2, 4, -2, 3, -2, 3, -1, 2, -1, 1, 0, 1, 0, 0, 1, -1, 2, -1, 2, -2, 3,
-2, 4, -2, 5, -3, 5, -2, 6, -2, 7, -2, 7, -1, 8, -1, 8, 0, 9, 1, 9, 2, 9, 3, 9, 4, 9, 5, 9, 6, 9, 7, 8, 9, 8, 10, 7, 11, 7, 12, 6, 13, 6, 14, 5, 14, 4, 15, 3, 15, 2, 15, 1, 15, 1, 15, 0, 14, -1, 13, -1, 12, -2, 11, -2,
10, -3, 8, -3, 7, -4, 5, -4, 3, -4, 2, -5, 0, -5, -2, -5, -4, -5, -5, -5, -7, -5, -8, -4, -9, -4, -10, -4, -11, -4, -12, -4, -12, -3, -12, -3, -12, -3, -12, -2, -12, -2, -11, -2, -11, -2, -10, -2, -9, -2, -8, -2, -7, -1, -6, -1, -4, -1, -3, -1, -2, -2, -1, -2,
0, -2, 1, -2, 2, -2, 3, -2, 4, -2, 4, -2, 5, -2, 5, -3, 5, -3, 5, -3, 4, -3, 4, -3, 3, -3, 2, -3, 1, -3, 0, -2, -1, -2, -2, -2, -4, -2, -5, -2, -6, -2, -7, -2, -8, -2, -9, -1, -10, -1, -11, -1, -12, 0, -12, 0, -12, 0, -12, 0, -12, 0, -11, 1,
-10, 1, -9, 1, -8, 1, -7, 2, -5, 2, -4, 2, -2, 2, 0, 2, 1, 2, 3, 2, 5, 2, 7, 2, 8, 2, 10, 2, 11, 2, 13, 2, 14, 2, 15, 2, 16, 2, 16, 2, 17, 2, 17, 2, 17, 2, 17, 2, 17, 2, 16, 2, 16, 3, 15, 3, 14, 3, 13, 3, 12, 3, 11, 4,
10, 4, 9, 4, 7, 5, 6, 5, 5, 5, 4, 5, 3, 6, 2, 6, 2, 6, 1, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 5, 3, 4, 4, 4, 4, 4, 5, 4, 5, 3, 5, 3, 5, 2, 4, 2,
4, 2, 3, 1, 3, 1, 2, 0, 1, -1, 1, -1, 0, -2, -1, -2, -2, -3, -3, -3, -5, -4, -6, -4, -7, -5, -8, -5, -9, -6, -11, -6, -12, -6, -13, -7, -13, -7, -14, -7, -15, -7, -16, -8, -16, -8, -17, -8, -17, -8, -17, -8, -17, -8, -16, -8, -16, -7, -15, -7, -14, -7, -13, -6,
-12, -6, -12, -5, -10, -5, -9, -4, -8, -4, -7, -3, -5, -2, -4, -2, -3, -1, -2, -1, -1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3,
0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 4, 3, 4, 3, 5, 4, 6, 4, 7, 4, 8, 4, 9, 4, 10, 5, 11, 5, 12, 5, 13, 5, 14, 6, 14, 6, 15, 6, 15, 6, 16, 6, 16, 5, 16, 5, 16, 5, 16, 5,
16, 5, 16, 4, 15, 4, 14, 3, 14, 3, 13, 2, 12, 2, 11, 1, 10, 1, 9, 0, 8, 0, 6, 0, 5, -1, 4, -1, 3, -1, 2, -1, 1, -1, 0, -1, -1, -1, -2, -1, -3, -1, -4, 0, -4, 0, -5, 0, -5, 0, -5, 1, -6, 1, -6, 1, -6, 1, -6, 2, -6, 2, -5, 2,
-5, 2, -5, 2, -4, 2, -3, 2, -3, 2, -2, 1, -2, 1, -1, 0, -1, 0, 0, -1, 0, -1, 0, -2, 0, -3, 0, -4, 0, -5, 0, -5, 0, -6, -1, -7, -1, -8, -2, -9, -3, -9, -4, -10, -5, -11, -5, -11, -6, -12, -7, -12, -8, -12, -9, -12, -10, -12, -11, -12, -12, -12, -13, -11,
-14, -11, -14, -11, -15, -10, -15, -9, -16, -9, -16, -8, -16, -7, -16, -6, -15, -5, -15, -4, -15, -4, -14, -3, -13, -2, -12, -1, -11, -1, -10, 0, -9, 1, -8, 1, -6, 2, -5, 3, -3, 3, -2, 3, 0, 4, 1, 4, 3, 4, 4, 4, 5, 5, 6, 5, 7, 5, 8, 4, 8, 4, 9, 4,
9, 4, 9, 4, 8, 4, 8, 4, 8, 3, 7, 3, 6, 3, 6, 3, 5, 3, 4, 3, 3, 3, 2, 4, 2, 4, 1, 4, 0, 4, 0, 5, -1, 5, -1, 5, -1, 6, -1, 6, -1, 6, 0, 7, 0, 7, 1, 8, 1, 8, 2, 8, 3, 8, 4, 8, 5, 8, 6, 8, 8, 8, 9, 7,
10, 7, 11, 7, 13, 6, 13, 6, 14, 5, 15, 5, 15, 4, 16, 4, 16, 3, 16, 3, 16, 3, 16, 2, 15, 2, 14, 2, 13, 1, 12, 1, 11, 1, 9, 1, 8, 0, 6, 0, 4, 0, 3, 0, 1, 1, -1, 1, -2, 1, -4, 1, -5, 2, -6, 2, -7, 2, -8, 2, -9, 2, -9, 3,
-9, 3, -10, 3, -9, 4, -9, 4, -9, 4, -8, 4, -7, 4, -7, 4, -6, 4, -5, 4, -4, 3, -2, 3, -1, 3, 0, 3, 1, 2, 2, 2, 3, 1, 4, 1, 4, 0, 5, 0, 5, -1, 5, -2, 5, -2, 5, -3, 5, -3, 5, -4, 4, -4, 3, -4, 2, -5, 1, -5, 0, -5, -2, -5,
-3, -6, -4, -6, -6, -6, -7, -6, -8, -6, -10, -6, -11, -6, -12, -5, -13, -5, -13, -5, -13, -5, -14, -4, -14, -4, -13, -3, -12, -3, -11, -2, -10, -2, -9, -1, -8, 0, -6, 0, -4, 1, -3, 2, -1, 2, 1, 2, 3, 3, 5, 3, 7, 4, 9, 4, 10, 4, 12, 5, 13, 5, 14, 5,
15, 5, 16, 5, 17, 5, 17, 5, 17, 5, 17, 5, 17, 5, 17, 5, 16, 5, 15, 5, 14, 5, 13, 5, 12, 5, 11, 4, 10, 4, 9, 4, 7, 4, 6, 4, 5, 3, 3, 3, 2, 3, 1, 3, 0, 2, -1, 2, -1, 2, -2, 1, -2, 1, -3, 1, -3, 0, -3, 0, -3, 0, -3, 0,
-2, -1, -2, -1, -2, -1, -1, -1, -1, -1, 0, -2, 0, -2, 1, -2, 1, -2, 2, -2, 2, -2, 2, -2, 2, -3, 2, -3, 2, -3, 2, -3, 1, -3, 1, -4, 0, -4, 0, -4, -1, -4, -2, -4, -3, -5, -4, -5, -5, -5, -6, -5, -7, -5, -8, -6, -9, -6, -10, -6, -11, -6, -12, -6,
-13, -6, -14, -6, -15, -6, -15, -6, -16, -6, -16, -5, -16, -5, -16, -5, -16, -5, -16, -5, -15, -4, -15, -4, -14, -4, -13, -3, -12, -3, -12, -2, -11, -2, -10, -1, -8, -1, -7, -1, -6, 0, -5, 0, -4, 1, -3, 1, -2, 1, -1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 3, 2, 3, 3, 4, 4, 5, 4, 6, 5, 7, 6, 8, 7, 9, 7,
10, 8, 11, 9, 12, 10, 13, 11, 14, 11, 15, 12, 16, 12, 17, 13, 18, 13, 18, 13, 18, 13, 19, 13, 19, 13, 19, 13, 19, 13, 19, 13, 18, 12, 18, 12, 17, 11, 16, 10, 15, 10, 15, 9, 14, 8, 12, 7, 11, 7, 10, 6, 9, 5, 8, 5, 7, 4, 6, 3, 5, 3, 4, 2,
3, 2, 1, 2, 0, 1, 0, 1, -1, 1, -2, 1, -2, 0, -3, 0, -3, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -3, 0, -3, 0, -2, 0, -2, 0, -1, 0, -1, -1, 0, -1, 0, -1, 0, -2, 1, -2, 1, -2, 1, -3, 1, -3, 1, -4, 1, -4, 1, -5,
1, -5, 0, -6, 0, -6, -1, -6, -2, -7, -2, -7, -3, -7, -4, -7, -5, -7, -6, -7, -6, -7, -7, -7, -8, -7, -9, -6, -10, -6, -11, -5, -11, -5, -12, -4, -12, -4, -13, -3, -13, -3, -13, -2, -14, -1, -13, -1, -13, 0, -13, 0, -13, 1, -12, 1, -12, 1, -11, 2, -10, 2, -9, 2,
-8, 3, -6, 3, -5, 3, -4, 3, -3, 3, -1, 2, 0, 2, 1, 2, 2, 2, 3, 1, 4, 1, 5, 1, 6, 0, 6, 0, 6, -1, 6, -1, 6, -2, 6, -2, 6, -2, 5, -3, 5, -3, 4, -3, 3, -3, 3, -3, 2, -3, 1, -3, 0, -3, -1, -3, -2, -2, -2, -2, -3, -1, -3, -1,
-3, 0, -3, 1, -3, 1, -3, 2, -3, 3, -2, 4, -2, 4, -1, 5, 0, 6, 1, 6, 2, 7, 3, 7, 4, 8, 6, 8, 7, 8, 9, 8, 10, 8, 11, 8, 12, 8, 13, 8, 14, 7, 14, 7, 15, 7, 15, 6, 15, 6, 15, 5, 15, 5, 14, 4, 13, 4, 12, 3, 11, 3, 9, 2,
8, 2, 6, 1, 5, 1, 3, 0, 1, 0, -1, -1, -3, -1, -4, -1, -6, -2, -7, -2, -9, -2, -10, -2, -11, -3, -12, -3, -12, -3, -13, -3, -13, -3, -13, -3, -12, -3, -12, -3, -11, -3, -11, -3, -10, -3, -9, -3, -8, -3, -6, -3, -5, -3, -4, -3, -3, -3, -1, -3, 0, -3, 1, -3,
2, -3, 3, -4, 4, -4, 4, -4, 5, -4, 5, -4, 5, -4, 5, -4, 5, -4, 4, -4, 4, -4, 3, -4, 2, -4, 0, -4, -1, -3, -2, -3, -4, -3, -5, -3, -6, -3, -7, -3, -9, -2, -10, -2, -11, -2, -11, -1, -12, -1, -12, 0, -12, 0, -12, 1, -11, 1, -11, 2, -10, 2, -8, 3,
-7, 3, -6, 4, -4, 5, -2, 5, 0, 6, 1, 6, 3, 6, 5, 7, 7, 7, 9, 7, 11, 8, 13, 8, 14, 8, 16, 8, 17, 7, 18, 7, 18, 7, 19, 7, 19, 6, 19, 6, 19, 6, 19, 5, 18, 5, 17, 5, 16, 4, 15, 4, 14, 4, 13, 3, 12, 3, 10, 2, 9, 2, 7, 2,
6, 2, 5, 2, 3, 1, 2, 1, 1, 1, 0, 1, 0, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 1, -1, 2, -1, 2, -1, 2, 0, 2, 1, 3, 1, 3, 2, 3, 3, 4, 3, 4, 4, 4, 5, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 6, 5, 6, 5, 6, 5, 5, 4,
5, 4, 4, 4, 3, 3, 2, 3, 1, 2, 0, 2, -1, 1, -3, 1, -4, 0, -5, -1, -7, -1, -8, -2, -9, -2, -10, -3, -12, -3, -13, -4, -13, -4, -14, -5, -15, -5, -15, -5, -16, -6, -16, -6, -16, -6, -16, -6, -16, -6, -15, -6, -14, -6, -14, -5, -13, -5, -12, -5, -11, -4, -10, -4,
-9, -4, -8, -3, -7, -3, -6, -3, -4, -2, -3, -2, -3, -1, -2, -1, -1, -1, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -2, 1,
-1, 1, -1, 1, 0, 2, 0, 2, 1, 3, 1, 3, 2, 4, 3, 5, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9, 8, 10, 9, 11, 9, 12, 10, 13, 10, 14, 10, 14, 10, 15, 10, 15, 10, 16, 10, 16, 10, 16, 10, 16, 9, 16, 9, 15, 8, 15, 7, 14, 7, 14, 6,
13, 5, 13, 4, 12, 4, 11, 3, 10, 2, 9, 1, 8, 0, 7, 0, 6, -1, 5, -2, 4, -2, 3, -3, 3, -3, 2, -3, 1, -3, 0, -4, -1, -4, -1, -4, -2, -4, -2, -3, -3, -3, -3, -3, -3, -3, -4, -2, -4, -2, -4, -1, -4, -1, -4, -1, -4, -1, -3, 0, -3, 0, -3, 0,
-2, 1, -2, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -2, 0, -2, 0, -3, 0, -3, -1, -4, -1, -4, -2, -5, -3, -5, -3, -6, -4, -6, -5, -6, -5, -6, -6, -6, -7, -6, -8, -6, -9, -6, -9, -6, -10, -6, -11, -6,
-11, -6, -12, -6, -13, -5, -13, -5, -13, -5, -13, -4, -13, -4, -13, -4, -13, -3, -13, -3, -13, -3, -12, -3, -11, -2, -10, -2, -9, -2, -8, -1, -7, -1, -6, -1, -5, -1, -3, -1, -2, 0, -1, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 1, 6, 1, 7, 1, 7, 1, 8, 1,
7, 1, 7, 1, 7, 1, 7, 1, 6, 1, 6, 2, 5, 2, 5, 2, 4, 3, 3, 3, 2, 4, 2, 4, 1, 5, 0, 5, 0, 6, 0, 7, 0, 7, 0, 8, 0, 9, 0, 9, 0, 10, 1, 10, 1, 10, 2, 11, 3, 11, 4, 11, 5, 11, 6, 11, 7, 11, 8, 11, 9, 11, 10, 11,
11, 10, 12, 10, 13, 9, 14, 9, 14, 8, 15, 7, 15, 7, 15, 6, 15, 6, 15, 5, 14, 4, 13, 4, 12, 3, 11, 2, 9, 1, 8, 1, 6, 0, 5, -1, 3, -1, 1, -2, -1, -2, -2, -2, -4, -3, -6, -3, -7, -3, -8, -3, -9, -4, -10, -4, -11, -4, -12, -3, -12, -3, -12, -3,
-12, -3, -12, -2, -11, -2, -11, -2, -10, -1, -9, -1, -8, 0, -6, 0, -5, 0, -3, 1, -2, 1, -1, 2, 1, 2, 2, 2, 3, 2, 4, 2, 5, 3, 6, 3, 7, 3, 7, 3, 8, 3, 8, 3, 7, 3, 7, 2, 7, 2, 6, 2, 5, 2, 3, 1, 2, 1, 1, 1, -1, 0, -3, 0,
-4, -1, -6, -1, -7, -1, -8, -2, -10, -2, -11, -2, -12, -2, -12, -3, -13, -3, -13, -3, -13, -3, -13, -3, -12, -3, -11, -2, -10, -2, -8, -2, -7, -1, -5, -1, -4, -1, -2, 0, 0, 0, 2, 1, 4, 1, 6, 1, 8, 2, 10, 2, 12, 2, 14, 3, 15, 3, 16, 3, 17, 3, 18, 3,
19, 3, 19, 3, 19, 4, 19, 4, 18, 4, 18, 4, 17, 3, 16, 3, 14, 3, 13, 3, 12, 3, 10, 3, 9, 3, 7, 2, 6, 2, 5, 2, 3, 2, 2, 2, 1, 2, 0, 2, -1, 2, -2, 2, -2, 2, -3, 2, -3, 2, -3, 2, -3, 3, -2, 3, -2, 3, -1, 3, -1, 3, 0, 4,
1, 4, 1, 4, 2, 4, 3, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 6, 3, 6, 3, 5, 2, 5, 2, 4, 1, 4, 0, 3, 0, 2, -1, 1, -2, 0, -3, -2, -4, -3, -4, -5, -5, -6, -6, -8, -7, -9, -8, -11, -9, -12, -9, -14, -10, -15, -10, -16, -11, -17, -11, -18, -11,
-18, -11, -19, -11, -19, -11, -19, -11, -19, -11, -19, -10, -18, -10, -17, -9, -16, -9, -15, -8, -14, -7, -13, -6, -12, -5, -11, -4, -9, -3, -8, -2, -6, -1, -5, 0, -4, 1, -2, 1, -1, 2, -1, 3, 0, 3, 1, 4, 1, 4, 1, 4, 2, 4, 2, 5, 2, 4, 1, 4, 1, 4, 1, 4,
0, 4, 0, 3, -1, 3, -1, 3, -2, 2, -2, 2, -3, 2, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 0, -3, 0, -3, 0, -2, 1, -2, 1, -1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 3, 3, 4, 3, 5, 4, 6, 4, 7, 5, 9, 5, 10, 6, 11, 6, 12, 7, 13, 7,
14, 8, 15, 8, 15, 9, 16, 9, 16, 9, 17, 9, 17, 9, 17, 9, 17, 9, 17, 9, 16, 9, 16, 9, 16, 8, 15, 8, 14, 7, 14, 7, 13, 6, 12, 6, 11, 6, 10, 5, 10, 5, 9, 4, 8, 4, 7, 4, 7, 4, 6, 3, 5, 3, 5, 3, 4, 3, 3, 4, 3, 4, 2, 4,
2, 4, 2, 4, 2, 4, 1, 4, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 4, 1, 4, 1, 4, 1, 3, 1, 3, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, -1, 1, -2, 1, -3, 0, -3, 0, -4, -1, -5, -1, -5, -2, -6,
-2, -7, -3, -7, -3, -8, -4, -8, -4, -8, -5, -8, -6, -8, -6, -8, -7, -8, -7, -8, -8, -8, -8, -7, -9, -7, -9, -7, -10, -6, -10, -6, -10, -5, -11, -4, -11, -4, -11, -3, -11, -3, -11, -2, -11, -2, -11, -1, -10, -1, -10, 0, -9, 0, -9, 1, -8, 1, -7, 2, -6, 2, -5, 2,
-4, 2, -3, 3, -2, 3, -1, 3, 0, 3, 1, 3, 2, 3, 3, 3, 4, 3, 5, 3, 5, 3, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 5, 1, 5, 1, 4, 1, 4, 1, 3, 1, 2, 1, 2, 1, 1, 1, 0, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 2, -2, 2,
-3, 2, -3, 2, -2, 3, -2, 3, -2, 3, -1, 3, -1, 3, 0, 3, 1, 4, 2, 4, 3, 4, 4, 4, 5, 4, 6, 4, 7, 4, 8, 4, 9, 4, 10, 3, 10, 3, 11, 3, 12, 3, 12, 3, 12, 3, 12, 3, 11, 2, 11, 2, 10, 2, 9, 1, 8, 1, 7, 1, 5, 1, 4, 0,
2, 0, 1, 0, -1, 0, -2, -1, -4, -1, -5, -1, -7, -1, -8, -1, -9, -2, -10, -2, -11, -2, -12, -2, -12, -2, -12, -2, -12, -2, -12, -2, -12, -2, -12, -1, -11, -1, -10, -1, -9, -1, -8, -1, -7, -1, -5, -1, -4, -1, -3, 0, -2, 0, 0, 0, 1, 0, 2, 0, 3, 0, 4, 0,
5, 0, 5, -1, 6, -1, 6, -1, 6, -1, 5, -1, 5, -1, 4, -2, 3, -2, 2, -2, 1, -3, 0, -3, -1, -3, -3, -4, -4, -4, -6, -4, -7, -5, -8, -5, -9, -5, -10, -5, -11, -5, -12, -5, -12, -5, -12, -5, -12, -4, -12, -4, -11, -3, -10, -3, -9, -2, -8, -1, -6, -1, -4, 0,
-3, 1, -1, 2, 1, 3, 4, 4, 6, 4, 8, 5, 10, 6, 12, 7, 14, 8, 16, 8, 17, 9, 19, 9, 20, 10, 21, 10, 21, 10, 22, 10, 22, 10, 22, 10, 21, 10, 21, 10, 20, 10, 19, 10, 17, 9, 16, 9, 15, 8, 13, 8, 12, 7, 10, 7, 8, 6, 7, 5, 5, 5, 4, 4,
2, 4, 1, 3, 0, 3, -1, 2, -1, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -1, 2, -1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 3, 3, 4, 3, 5, 3, 6, 3, 6, 3, 7, 4, 7, 4, 8, 4, 8, 3, 7, 3, 7, 3, 7, 3, 6, 2, 5, 2, 4, 2, 3, 1,
2, 0, 1, 0, -1, -1, -2, -2, -4, -2, -5, -3, -7, -3, -9, -4, -10, -5, -12, -5, -13, -6, -14, -6, -15, -6, -16, -6, -17, -6, -17, -6, -18, -6, -18, -6, -18, -6, -17, -6, -17, -5, -16, -5, -15, -4, -14, -3, -13, -3, -12, -2, -11, -1, -9, 0, -8, 0, -7, 1, -5, 2, -4, 2,
-3, 3, -1, 3, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 2, 4, 2, 3, 2, 3, 1, 2, 1, 2, 0, 1, -1, 1, -1, 0, -2, -1, -3, -1, -4, -2, -4, -3, -5, -3, -5, -4, -6, -4, -6, -4, -6, -5, -6, -5, -6, -5, -6, -4, -5, -4, -5, -4, -4, -4, -4, -3,
-3, -3, -2, -2, -1, -1, 0, 0, 2, 1, 3, 1, 4, 2, 5, 3, 7, 4, 8, 5, 9, 6, 10, 7, 12, 8, 13, 8, 14, 9, 15, 10, 15, 10, 16, 11, 16, 11, 17, 11, 17, 11, 17, 11, 17, 11, 16, 11, 16, 10, 15, 10, 15, 9, 14, 9, 13, 8, 12, 7, 11, 7, 10, 6,
9, 5, 8, 4, 7, 4, 6, 3, 5, 2, 5, 2, 4, 1, 3, 1, 2, 0, 2, 0, 1, 0, 1, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -2, 0, -2,
0, -2, 0, -2, 0, -3, 0, -3, 0, -4, 0, -4, 0, -4, -1, -5, -1, -5, -1, -5, -2, -6, -2, -6, -3, -6, -3, -6, -4, -7, -4, -7, -4, -7, -5, -7, -5, -6, -5, -6, -6, -6, -6, -5, -7, -5, -7, -5, -7, -4, -8, -4, -8, -3, -8, -3, -8, -2, -8, -1, -8, -1, -9, 0,
-9, 0, -9, 1, -9, 1, -9, 1, -8, 2, -8, 2, -8, 2, -7, 2, -7, 3, -6, 3, -6, 3, -5, 3, -4, 2, -4, 2, -3, 2, -2, 2, -1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 3, 1, 3, 0, 4, 0, 4, 0, 4, 0, 4, -1, 5, -1, 4, -1, 4, -1, 4, -1, 4, -1,
4, -1, 3, -1, 3, -1, 2, -1, 2, -1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, -1, 2, -1, 3, -1, 4, 0, 4, 0, 5, 0, 6, 0, 6, 1, 7, 1, 7, 2, 8, 3, 8, 4, 9, 5, 9, 6, 9, 7, 9, 8, 10, 9, 10, 10, 10, 10, 10, 11, 10, 12, 10,
12, 10, 13, 9, 13, 9, 13, 9, 13, 9, 13, 9, 12, 8, 12, 8, 11, 7, 10, 7, 9, 6, 8, 6, 6, 5, 5, 4, 3, 4, 2, 3, 0, 3, -1, 2, -3, 1, -4, 1, -6, 0, -7, -1, -8, -1, -9, -2, -10, -2, -10, -2, -11, -3, -11, -3, -12, -3, -12, -3, -11, -4, -11, -4,
-10, -4, -10, -4, -9, -4, -8, -4, -7, -4, -5, -3, -4, -3, -3, -3, -2, -3, -1, -2, 1, -2, 2, -2, 3, -2, 4, -1, 4, -1, 5, -1, 5, 0, 6, 0, 6, 0, 6, 0, 5, 0, 5, 0, 4, 1, 3, 1, 2, 0, 1, 0, 0, 0, -1, 0, -2, 0, -4, 0, -5, 0, -6, 0,
-7, 0, -8, 0, -9, -1, -10, -1, -10, -1, -10, -1, -10, -1, -10, 0, -9, 0, -8, 0, -7, 1, -6, 1, -5, 1, -3, 2, -2, 2, 0, 3, 2, 3, 4, 4, 6, 4, 8, 5, 9, 5, 11, 6, 13, 6, 14, 6, 15, 6, 17, 7, 18, 7, 18, 6, 19, 6, 19, 6, 19, 6, 19, 6,
18, 5, 18, 5, 17, 5, 16, 4, 15, 4, 13, 3, 12, 2, 10, 2, 9, 1, 7, 1, 6, 0, 4, 0, 3, -1, 2, -1, 0, -1, -1, -2, -2, -2, -2, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -1, -3, -1, -2, -1, -2, 0, -1, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 3,
5, 4, 6, 5, 6, 5, 7, 5, 7, 6, 7, 6, 8, 6, 7, 6, 7, 6, 7, 5, 6, 5, 5, 4, 4, 4, 3, 3, 2, 2, 0, 1, -1, 0, -3, 0, -5, -1, -6, -2, -8, -3, -10, -4, -11, -5, -13, -6, -15, -7, -16, -8, -17, -9, -18, -9, -19, -10, -20, -10, -20, -10, -20, -11,
-20, -11, -20, -10, -19, -10, -19, -10, -18, -9, -17, -9, -16, -8, -14, -7, -13, -7, -12, -6, -10, -5, -9, -4, -7, -3, -5, -3, -4, -2, -3, -1, -2, 0, -1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, -1, 1, -1, 1, -2, 0,
-2, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 1, -3, 1, -2, 1, -2, 1, -2, 1, -1, 2, 0, 2, 1, 4, 3, 5, 4, 6, 5, 7, 7, 8, 8, 9, 8, 10, 9, 10, 8, 10, 8, 10, 8, 9, 7, 9, 7, 8, 8, 8, 8, 9, 9, 10, 10, 11,
11, 13, 13, 14, 14, 16, 15, 17, 16, 17, 17, 16, 17, 14, 17, 12, 17, 9, 17, 6, 17, 4, 17, 3, 17, 2, 17, 2, 17, 3, 18, 3, 18, 4, 18, 5, 17, 6, 16, 6, 15, 5, 12, 3, 10, 2, 7, 0, 4, -1, 2, -2, 0, -2, -1, -1, -2, 1, -2, 3, -1, 5, -1, 8,
0, 10, 1, 12, 2, 13, 2, 14, 2, 14, 2, 13, 2, 11, 1, 10, 1, 9, 1, 7, 1, 6, 1, 6, 2, 6, 2, 6, 3, 6, 3, 5, 3, 5, 3, 4, 2, 2, 0, 0, -2, -3, -4, -5, -6, -7, -8, -9, -9, -11, -10, -11, -11, -11, -11, -10, -10, -9, -9, -7, -7, -4, -6, -2,
-5, 0, -4, 1, -3, 2, -2, 2, -2, 2, -1, 1, 0, 1, 0, 1, 1, 2, 2, 3, 3, 4, 4, 6, 5, 8, 6, 10, 6, 11, 6, 11, 5, 11, 4, 10, 2, 8, 1, 7, -1, 6, -2, 5, -3, 5, -4, 5, -4, 6, -3, 7, -2, 9, 0, 11, 1, 13, 3, 14, 5, 15, 6, 15,
7, 14, 8, 13, 8, 11, 7, 9, 7, 8, 6, 6, 6, 5, 5, 4, 5, 4, 4, 3, 4, 3, 3, 3, 2, 3, 1, 2, 0, 1, -2, 0, -4, -2, -7, -4, -9, -6, -11, -7, -13, -8, -13, -8, -13, -7, -12, -6, -10, -4, -8, -1, -6, 2, -3, 5, 0, 8, 2, 10, 4, 11, 6, 12,
7, 11, 9, 11, 10, 10, 12, 9, 13, 8, 15, 8, 16, 9, 17, 10, 18, 11, 19, 12, 19, 13, 19, 14, 19, 14, 18, 14, 17, 13, 15, 13, 13, 12, 11, 11, 10, 12, 9, 12, 9, 14, 9, 15, 9, 17, 9, 19, 10, 20, 11, 22, 12, 23, 13, 24, 12, 23, 11, 21, 9, 19, 7, 16,
4, 13, 2, 9, -1, 7, -4, 4, -6, 1, -9, -1, -12, -2, -14, -4, -16, -5, -19, -6, -21, -8, -23, -9, -24, -10, -26, -12, -28, -13, -29, -14, -29, -14, -28, -14, -26, -12, -23, -10, -20, -8, -17, -5, -13, -2, -8, 1, -3, 5, 2, 7, 6, 9, 10, 10, 12, 10, 14, 9, 16, 8, 17, 6,
18, 5, 19, 4, 18, 3, 18, 3, 16, 2, 15, 3, 13, 3, 11, 3, 9, 3, 7, 4, 5, 4, 2, 3, -1, 3, -3, 3, -6, 3, -7, 5, -7, 7, -6, 9, -4, 12, -3, 15, 0, 18, 2, 22, 6, 25, 10, 27, 13, 29, 16, 30, 18, 29, 19, 28, 20, 26, 20, 24, 21, 22, 21, 20,
21, 17, 20, 15, 19, 13, 17, 11, 15, 10, 14, 8, 12, 7, 10, 5, 8, 4, 6, 2, 3, -1, 0, -3, -2, -5, -4, -6, -4, -7, -4, -6, -3, -5, -1, -4, 0, -2, 3, 0, 5, 3, 8, 5, 11, 8, 13, 9, 15, 9, 15, 8, 14, 7, 14, 5, 14, 4, 13, 2, 12, 1, 10, -1,
9, -1, 7, -2, 6, -2, 4, -1, 3, 0, 2, 1, 2, 2, 1, 2, 0, 3, 0, 4, -1, 5, 0, 6, 1, 8, 4, 12, 7, 15, 10, 19, 14, 23, 18, 27, 22, 31, 26, 35, 30, 38, 34, 40, 36, 41, 36, 40, 35, 38, 33, 35, 31, 33, 28, 29, 24, 26, 20, 23, 15, 20, 9, 16,
4, 14, -2, 11, -7, 9, -12, 7, -17, 5, -21, 3, -25, 0, -29, -2, -33, -5, -36, -8, -38, -9, -39, -11, -38, -10, -36, -10, -34, -9, -31, -8, -28, -6, -24, -4, -19, -2, -15, -1, -11, 0, -7, 0, -6, -1, -4, -2, -2, -4, 0, -5, 1, -6, 2, -7, 2, -7, 2, -7, 1, -7, 0, -7,
-1, -6, -2, -5, -3, -4, -4, -4, -5, -3, -6, -3, -8, -3, -10, -3, -11, -3, -11, -1, -9, 1, -7, 4, -4, 8, -1, 11, 2, 14, 5, 17, 9, 20, 14, 23, 18, 25, 20, 25, 21, 25, 21, 23, 20, 21, 20, 19, 19, 18, 18, 17, 17, 15, 15, 14, 12, 14, 10, 14, 8, 14, 6, 14,
4, 14, 2, 14, 1, 14, -1, 13, -3, 12, -5, 11, -6, 10, -6, 10, -5, 11, -2, 13, 1, 15, 4, 18, 8, 20, 11, 22, 15, 24, 20, 27, 25, 28, 28, 28, 30, 27, 30, 24, 30, 20, 29, 17, 28, 13, 26, 10, 24, 6, 21, 3, 17, -1, 14, -4, 10, -6, 6, -8, 3, -10, -1, -12,
-4, -14, -6, -15, -9, -16, -11, -16, -13, -16, -14, -16, -14, -14, -12, -11, -9, -7, -5, -3, -2, 1, 1, 5, 5, 8, 10, 12, 14, 15, 18, 18, 21, 18, 22, 18, 22, 17, 22, 16, 22, 14, 22, 13, 21, 12, 20, 10, 17, 9, 15, 8, 12, 6, 8, 5, 5, 4, 2, 3, -1, 2, -4, 0,
-6, -1, -9, -2, -12, -3, -14, -4, -15, -4, -15, -3, -13, -1, -11, 1, -8, 4, -6, 6, -4, 8, -1, 9, 2, 11, 6, 13, 8, 14, 10, 14, 9, 12, 8, 11, 8, 9, 7, 8, 6, 7, 5, 6, 4, 5, 1, 4, -1, 3, -4, 2, -7, 1, -9, 0, -12, -1, -14, -2, -16, -3, -18, -4,
-20, -5, -22, -6, -23, -6, -23, -5, -21, -4, -18, -1, -14, 1, -10, 4, -7, 6, -3, 8, 2, 10, 7, 13, 12, 15, 16, 15, 18, 15, 19, 14, 20, 13, 20, 11, 20, 10, 19, 8, 18, 7, 15, 5, 12, 3, 9, 2, 5, 0, 2, -1, -2, -2, -5, -3, -8, -3, -10, -4, -12, -4, -14, -4,
-16, -4, -16, -4, -16, -2, -14, 0, -10, 3, -7, 5, -4, 8, -1, 10, 3, 13, 7, 16, 12, 19, 16, 21, 19, 22, 21, 22, 22, 22, 23, 22, 24, 21, 25, 21, 25, 20, 24, 18, 22, 17, 20, 15, 18, 14, 15, 13, 12, 12, 10, 11, 7, 10, 6, 10, 4, 9, 2, 9, 1, 9, -1, 9,
-1, 10, 1, 12, 3, 14, 6, 16, 8, 18, 10, 20, 12, 21, 15, 22, 17, 23, 20, 24, 21, 23, 20, 21, 19, 19, 16, 15, 14, 12, 12, 9, 9, 5, 6, 2, 2, -1, -2, -4, -6, -6, -10, -8, -14, -9, -17, -10, -20, -11, -22, -12, -24, -12, -26, -13, -27, -13, -28, -14, -28, -14, -27, -13,
-24, -11, -20, -9, -16, -6, -12, -4, -8, -1, -3, 1, 3, 4, 9, 7, 14, 9, 18, 11, 21, 11, 22, 10, 23, 9, 24, 8, 24, 7, 23, 6, 22, 5, 19, 4, 16, 3, 12, 2, 8, 1, 5, 1, 1, 1, -2, 1, -5, 2, -8, 2, -11, 2, -13, 2, -16, 2, -17, 3, -17, 5, -15, 8,
-13, 11, -10, 14, -8, 17, -5, 19, -1, 22, 4, 25, 8, 28, 13, 30, 15, 30, 17, 29, 18, 28, 20, 26, 21, 24, 21, 22, 21, 19, 20, 17, 18, 14, 15, 11, 12, 9, 9, 6, 7, 4, 4, 2, 2, 0, 0, -2, -2, -4, -4, -5, -6, -7, -7, -8, -7, -8, -6, -7, -4, -5, -1, -4,
2, -2, 4, 0, 7, 2, 10, 3, 13, 5, 16, 6, 18, 7, 18, 6, 18, 4, 17, 3, 16, 1, 15, -1, 13, -2, 11, -4, 9, -5, 7, -6, 4, -6, 2, -6, 0, -6, -2, -6, -4, -6, -5, -6, -6, -5, -6, -5, -7, -4, -7, -3, -7, -1, -4, 2, -1, 6, 3, 11, 7, 15, 11, 20,
15, 24, 20, 28, 24, 32, 29, 35, 32, 37, 33, 37, 33, 36, 31, 34, 29, 31, 26, 29, 23, 26, 19, 23, 15, 20, 10, 17, 4, 14, -1, 11, -6, 8, -11, 6, -16, 3, -20, 0, -24, -2, -28, -5, -31, -8, -35, -10, -37, -12, -38, -13, -37, -14, -35, -13, -33, -13, -30, -12, -27, -12, -23, -11,
-19, -10, -14, -9, -9, -8, -5, -7, -2, -8, 0, -9, 2, -10, 4, -11, 5, -11, 6, -11, 7, -12, 6, -12, 5, -13, 4, -13, 2, -13, -1, -14, -3, -14, -5, -15, -7, -15, -9, -15, -11, -15, -13, -15, -14, -15, -15, -14, -14, -11, -12, -8, -9, -4, -5, -1, -2, 2, 1, 5, 4, 8, 8, 11,
12, 14, 15, 16, 17, 17, 17, 17, 17, 17, 17, 16, 17, 16, 17, 16, 16, 16, 14, 16, 12, 16, 10, 16, 7, 15, 5, 15, 2, 14, -1, 14, -3, 13, -5, 13, -7, 13, -8, 13, -10, 13, -10, 13, -9, 14, -7, 16, -3, 19, 1, 21, 5, 23, 8, 25, 12, 26, 16, 27, 21, 28, 25, 28,
28, 27, 30, 26, 30, 22, 29, 19, 28, 16, 27, 12, 26, 9, 23, 6, 20, 2, 16, -1, 13, -5, 8, -8, 5, -11, 1, -13, -3, -15, -5, -16, -8, -17, -10, -18, -12, -18, -13, -18, -14, -17, -13, -15, -11, -12, -8, -8, -4, -5, -1, -2, 2, 1, 5, 4, 9, 8, 13, 11, 17, 13, 19, 15,
21, 16, 22, 16, 22, 16, 23, 15, 23, 15, 22, 14, 20, 13, 18, 12, 14, 11, 11, 9, 7, 7, 3, 6, 0, 5, -3, 4, -6, 3, -8, 3, -10, 3, -12, 3, -14, 3, -14, 4, -13, 5, -11, 7, -9, 9, -6, 11, -4, 12, -2, 13, 0, 15, 4, 16, 7, 17, 9, 17, 11, 17, 11, 16,
10, 15, 10, 13, 10, 12, 9, 11, 8, 9, 6, 7, 3, 5, 0, 2, -3, 0, -7, -2, -10, -5, -13, -7, -16, -9, -18, -10, -20, -12, -22, -13, -23, -14, -24, -15, -22, -14, -20, -13, -17, -11, -13, -9, -10, -7, -6, -5, -2, -3, 3, 0, 8, 3, 13, 5, 16, 6, 18, 6, 19, 6, 19, 5,
19, 4, 19, 3, 18, 2, 16, 0, 13, -2, 9, -3, 6, -5, 2, -6, -2, -8, -5, -8, -8, -9, -11, -9, -13, -9, -15, -9, -17, -8, -18, -8, -19, -7, -18, -5, -16, -3, -13, 0, -10, 3, -7, 5, -4, 8, 0, 11, 4, 14, 8, 17, 12, 20, 16, 22, 17, 22, 19, 22, 20, 22, 20, 21,
21, 20, 20, 19, 19, 17, 17, 16, 14, 14, 11, 12, 9, 10, 6, 9, 4, 8, 2, 7, 0, 6, -1, 5, -3, 4, -4, 4, -4, 3, -4, 3, -3, 4, -1, 5, 1, 7, 3, 7, 5, 8, 7, 9, 9, 9, 11, 10, 13, 10, 14, 10, 14, 8, 13, 6, 11, 3, 9, 1, 7, -2, 5, -4,
2, -6, -2, -8, -5, -11, -9, -13, -13, -14, -17, -16, -20, -17, -23, -18, -26, -19, -27, -19, -29, -19, -30, -20, -31, -20, -30, -19, -28, -17, -25, -15, -20, -12, -16, -8, -11, -5, -7, -3, -2, 0, 4, 4, 10, 6, 14, 9, 19, 10, 21, 10, 22, 10, 22, 9, 23, 9, 22, 8, 21, 8, 20, 7,
17, 6, 14, 6, 10, 5, 6, 4, 3, 4, -1, 3, -4, 3, -7, 2, -10, 2, -13, 1, -16, 1, -18, 0, -19, 1, -18, 3, -16, 5, -13, 7, -11, 9, -8, 12, -4, 14, 0, 16, 5, 18, 10, 21, 13, 21, 16, 21, 18, 20, 19, 19, 20, 17, 21, 15, 22, 13, 21, 10, 20, 7, 17, 4,
15, 2, 12, -1, 9, -4, 6, -6, 4, -8, 1, -10, -1, -12, -2, -13, -4, -14, -6, -15, -6, -15, -6, -14, -4, -13, -2, -11, 1, -8, 3, -7, 5, -5, 7, -3, 10, -2, 13, 0, 15, 1, 17, 2, 17, 1, 16, 0, 15, -1, 14, -2, 14, -2, 13, -3, 11, -3, 9, -4, 6, -5, 4, -5,
1, -6, -1, -6, -3, -6, -5, -6, -7, -6, -8, -5, -9, -5, -9, -3, -9, -1, -8, 1, -5, 5, -1, 9, 3, 13, 7, 17, 10, 21, 13, 25, 17, 28, 21, 31, 25, 33, 27, 34, 28, 34, 27, 33, 26, 32, 24, 30, 21, 28, 19, 26, 16, 23, 12, 20, 7, 17, 2, 14, -3, 10, -9, 7,
-14, 3, -18, 0, -23, -4, -27, -7, -30, -10, -33, -13, -36, -15, -38, -17, -38, -18, -37, -18, -34, -17, -31, -17, -28, -16, -25, -15, -21, -14, -17, -13, -12, -12, -8, -10, -4, -9, -1, -9, 1, -9, 3, -9, 5, -9, 6, -9, 7, -9, 7, -9, 6, -10, 4, -10, 1, -11, -1, -12, -4, -13, -7, -13,
-9, -14, -11, -14, -13, -13, -14, -13, -15, -12, -16, -11, -16, -9, -14, -7, -12, -4, -9, -1, -6, 2, -3, 5, -1, 7, 3, 9, 6, 12, 10, 15, 13, 17, 15, 18, 16, 19, 16, 20, 16, 20, 16, 20, 16, 20, 15, 20, 14, 20, 12, 18, 9, 17, 6, 16, 3, 14, 0, 13, -3, 12, -5, 11,
-7, 10, -8, 9, -9, 9, -10, 9, -9, 9, -8, 10, -5, 11, -1, 13, 3, 14, 6, 15, 9, 16, 13, 16, 17, 16, 21, 16, 24, 16, 27, 15, 28, 13, 28, 10, 28, 7, 27, 4, 26, 1, 24, -2, 22, -5, 18, -9, 15, -12, 11, -15, 6, -18, 3, -20, -1, -22, -5, -24, -7, -25, -10, -25,
-12, -26, -14, -26, -15, -25, -16, -24, -15, -22, -13, -19, -10, -16, -8, -13, -5, -11, -3, -8, 1, -5, 4, -1, 8, 2, 12, 5, 15, 7, 16, 9, 17, 9, 18, 10, 18, 10, 17, 10, 16, 9, 14, 8, 11, 7, 8, 6, 4, 4, 0, 3, -3, 2, -6, 1, -9, 1, -11, 1, -13, 0, -14, 0,
-16, 0, -17, 0, -17, 1, -16, 2, -13, 3, -11, 5, -9, 6, -7, 7, -5, 8, -2, 8, 1, 10, 5, 11, 7, 11, 9, 11, 9, 10, 9, 8, 9, 6, 8, 4, 7, 2, 5, 0, 3, -3, -1, -6, -4, -9, -8, -11, -12, -14, -15, -17, -18, -19, -21, -21, -23, -22, -25, -23, -26, -24, -27, -25,
-27, -25, -25, -23, -22, -21, -19, -19, -15, -16, -11, -13, -7, -11, -3, -8, 1, -5, 6, -2, 11, 0, 14, 2, 16, 3, 16, 3, 17, 3, 16, 3, 16, 2, 15, 2, 13, 1, 10, 0, 7, -1, 4, -2, 0, -2, -3, -3, -6, -3, -9, -4, -11, -4, -13, -4, -15, -3, -17, -3, -18, -2, -18, -1,
-17, 1, -14, 4, -11, 7, -8, 10, -5, 13, -1, 16, 3, 19, 7, 22, 12, 24, 16, 26, 19, 27, 20, 27, 21, 26, 22, 25, 23, 24, 23, 22, 22, 20, 20, 18, 18, 16, 16, 14, 14, 12, 11, 9, 9, 8, 7, 6, 5, 4, 3, 2, 2, 1, 1, -1, -1, -2, -1, -3, -1, -4, 0, -3,
2, -3, 4, -2, 5, -2, 6, -2, 8, -2, 10, -1, 12, -1, 14, 0, 14, -1, 14, -1, 12, -3, 11, -5, 9, -6, 7, -7, 4, -9, 1, -10, -2, -12, -6, -13, -10, -15, -14, -16, -18, -17, -22, -18, -25, -19, -27, -19, -29, -20, -30, -19, -31, -19, -31, -18, -29, -16, -27, -14, -22, -10, -18, -7,
-13, -3, -9, -1, -4, 2, 1, 5, 6, 8, 11, 10, 15, 12, 19, 14, 20, 14, 21, 14, 21, 13, 21, 13, 21, 13, 20, 12, 17, 11, 14, 10, 11, 9, 7, 7, 3, 6, -1, 4, -5, 2, -9, 1, -12, 0, -15, -2, -18, -3, -20, -4, -22, -4, -22, -4, -20, -2, -18, -1, -15, 1, -12, 3,
-9, 4, -6, 6, -2, 7, 3, 8, 7, 10, 10, 10, 13, 9, 14, 8, 15, 7, 16, 5, 17, 3, 17, 1, 16, -1, 14, -3, 12, -5, 9, -7, 6, -10, 4, -12, 1, -13, -1, -15, -3, -16, -5, -16, -6, -17, -8, -17, -9, -16, -9, -15, -8, -13, -6, -11, -3, -9, -1, -6, 1, -4, 3, -3,
5, -1, 8, 1, 11, 3, 13, 4, 15, 5, 15, 6, 15, 5, 15, 5, 14, 5, 14, 5, 13, 4, 11, 3, 9, 2, 6, 1, 3, 0, 0, -1, -2, -2, -5, -3, -7, -3, -8, -3, -9, -3, -9, -2, -9, -1, -8, 1, -6, 4, -3, 6, 0, 10, 4, 13, 7, 15, 10, 17, 13, 19, 16, 21,
20, 23, 23, 24, 24, 24, 25, 24, 25, 23, 23, 21, 22, 19, 20, 17, 17, 15, 14, 12, 10, 9, 5, 5, 0, 1, -5, -3, -11, -7, -16, -10, -20, -14, -24, -17, -28, -20, -31, -22, -34, -25, -36, -26, -37, -27, -36, -28, -34, -27, -32, -26, -29, -25, -26, -24, -23, -22, -19, -21, -15, -18, -10, -16,
-6, -14, -2, -12, 0, -11, 2, -11, 4, -10, 5, -10, 5, -10, 5, -10, 4, -10, 2, -11, 0, -12, -3, -12, -6, -13, -8, -13, -11, -14, -13, -13, -14, -13, -15, -13, -16, -12, -17, -11, -17, -10, -16, -9, -15, -7, -12, -4, -9, -2, -7, 0, -4, 2, -2, 4, 1, 7, 5, 9, 9, 12, 12, 14,
14, 15, 15, 16, 15, 16, 15, 15, 15, 15, 14, 14, 12, 13, 10, 12, 7, 10, 4, 8, 1, 6, -2, 4, -5, 3, -7, 2, -9, 1, -10, 1, -11, 0, -12, 0, -12, 0, -11, 1, -9, 2, -6, 3, -2, 4, 1, 6, 5, 7, 8, 7, 12, 8, 15, 9, 20, 10, 23, 10, 26, 10, 27, 8,
28, 7, 27, 5, 27, 3, 26, 1, 24, -1, 22, -3, 18, -5, 15, -8, 11, -10, 7, -12, 4, -13, 0, -15, -3, -15, -6, -16, -8, -16, -10, -17, -12, -16, -13, -16, -14, -15, -13, -13, -11, -10, -8, -7, -6, -4, -3, -1, 0, 1, 3, 5, 7, 8, 11, 11, 14, 13, 16, 15, 18, 16, 18, 16,
18, 16, 18, 15, 17, 15, 15, 14, 13, 13, 10, 11, 7, 10, 4, 9, 1, 8, -2, 6, -5, 5, -7, 5, -9, 4, -10, 3, -12, 2, -13, 2, -13, 1, -13, 1, -12, 2, -9, 3, -7, 4, -5, 5, -2, 5, 0, 6, 3, 7, 7, 8, 10, 9, 12, 9, 13, 8, 13, 6, 12, 5, 11, 2,
10, 0, 8, -2, 5, -5, 2, -8, -2, -11, -5, -13, -9, -16, -13, -18, -17, -21, -20, -22, -22, -24, -24, -25, -26, -25, -27, -25, -27, -25, -26, -24, -24, -22, -21, -19, -17, -16, -13, -13, -10, -10, -6, -8, -2, -5, 2, -2, 7, 0, 10, 2, 13, 4, 14, 4, 15, 4, 15, 4, 14, 4, 14, 3,
12, 3, 10, 2, 8, 1, 4, 0, 1, -2, -3, -3, -6, -4, -10, -5, -13, -6, -15, -7, -17, -7, -20, -8, -21, -8, -22, -7, -21, -6, -20, -3, -17, -1, -14, 2, -10, 5, -7, 7, -4, 9, 0, 12, 5, 14, 8, 16, 12, 17, 14, 18, 16, 17, 17, 16, 17, 15, 18, 14, 18, 13, 18, 12,
16, 10, 15, 8, 13, 6, 11, 4, 8, 2, 6, 0, 4, -2, 3, -3, 1, -5, 0, -6, -2, -7, -2, -8, -3, -9, -2, -9, -1, -8, 1, -7, 3, -6, 4, -6, 6, -5, 7, -4, 9, -3, 11, -2, 12, -1, 13, -1, 12, -1, 11, -2, 9, -3, 7, -4, 5, -4, 2, -5, -1, -7, -5, -8,
-9, -10, -13, -12, -17, -13, -21, -15, -24, -16, -27, -16, -29, -17, -30, -17, -31, -16, -31, -15, -30, -14, -28, -12, -24, -10, -20, -7, -15, -4, -11, -2, -7, 1, -2, 3, 2, 5, 7, 7, 12, 9, 15, 11, 18, 12, 20, 12, 21, 12, 21, 12, 21, 12, 20, 11, 19, 11, 17, 9, 13, 7, 10, 5,
6, 3, 2, 1, -3, -1, -6, -3, -10, -4, -13, -6, -15, -7, -17, -7, -18, -8, -19, -8, -18, -7, -16, -5, -13, -4, -10, -2, -7, -1, -4, 1, -1, 2, 3, 3, 7, 4, 11, 5, 14, 6, 16, 5, 17, 4, 18, 3, 18, 2, 18, 1, 18, -1, 16, -2, 14, -4, 11, -6, 8, -8, 5, -10,
3, -11, 0, -13, -2, -13, -4, -14, -6, -14, -7, -14, -8, -14, -9, -13, -9, -12, -8, -11, -6, -9, -4, -7, -2, -5, -1, -3, 2, -2, 4, 0, 7, 2, 10, 4, 12, 5, 14, 6, 14, 6, 14, 6, 14, 5, 14, 5, 13, 4, 11, 3, 9, 1, 6, 0, 3, -2, 0, -3, -3, -5, -5, -6,
-7, -6, -8, -6, -9, -6, -10, -5, -10, -4, -9, -3, -8, -1, -6, 1, -3, 3, 0, 6, 3, 9, 6, 11, 9, 13, 12, 15, 16, 17, 19, 19, 22, 21, 24, 21, 25, 22, 25, 21, 24, 20, 23, 18, 21, 17, 18, 14, 14, 12, 10, 9, 5, 5, 0, 2, -5, -2, -10, -5, -15, -9, -19, -12,
-23, -14, -26, -16, -29, -19, -31, -20, -33, -21, -33, -22, -33, -22, -31, -21, -28, -20, -26, -18, -23, -17, -20, -15, -17, -13, -12, -11, -8, -9, -5, -7, -2, -6, -1, -5, 1, -5, 1, -5, 2, -5, 1, -5, 1, -5, -1, -6, -3, -7, -5, -8, -7, -8, -9, -9, -11, -9, -13, -9, -14, -9, -15, -9,
-16, -8, -16, -8, -16, -7, -16, -6, -14, -5, -12, -3, -9, -1, -6, 2, -3, 4, 0, 6, 3, 9, 7, 11, 11, 14, 15, 16, 17, 18, 19, 19, 20, 19, 20, 19, 19, 18, 19, 17, 17, 16, 15, 14, 12, 12, 9, 10, 6, 8, 3, 6, 0, 5, -3, 3, -5, 2, -7, 1, -8, 1, -9, 0,
-10, 0, -10, -1, -9, 0, -7, 0, -4, 1, -1, 2, 3, 3, 6, 4, 9, 5, 12, 5, 16, 6, 20, 7, 23, 7, 25, 7, 26, 6, 27, 5, 26, 3, 26, 2, 24, 0, 23, -2, 20, -4, 17, -6, 13, -8, 9, -10, 5, -12, 1, -14, -3, -16, -6, -17, -9, -18, -12, -19, -14, -20, -16, -20,
-17, -20, -16, -18, -15, -16, -13, -14, -11, -11, -8, -9, -5, -6, -2, -3, 1, -1, 5, 2, 8, 4, 11, 6, 12, 7, 13, 8, 13, 8, 13, 8, 13, 8, 12, 8, 11, 8, 9, 7, 7, 6, 4, 5, 1, 4, -1, 3, -4, 2, -6, 1, -8, 0, -10, -1, -11, -1, -13, -2, -13, -3, -13, -3,
-12, -2, -10, -1, -8, 0, -5, 1, -3, 2, -1, 2, 2, 3, 4, 4, 7, 4, 9, 5, 11, 4, 11, 3, 10, 1, 9, -1, 8, -3, 6, -5, 3, -7, 0, -10, -3, -13, -7, -16, -11, -18, -15, -20, -19, -23, -23, -24, -25, -25, -27, -26, -29, -26, -30, -26, -30, -26, -29, -25, -27, -23, -25, -20,
-21, -17, -17, -15, -14, -12, -10, -9, -7, -7, -3, -4, 2, -1, 6, 1, 9, 3, 12, 4, 13, 5, 14, 6, 14, 6, 15, 6, 14, 6, 13, 5, 11, 5, 8, 3, 5, 2, 2, 0, -2, -1, -5, -2, -8, -3, -11, -4, -13, -4, -15, -4, -17, -4, -17, -4, -17, -2, -16, -1, -13, 2, -10, 4,
-7, 7, -4, 9, -1, 11, 2, 13, 6, 15, 10, 17, 14, 19, 17, 20, 19, 20, 21, 20, 22, 19, 23, 19, 23, 18, 24, 17, 23, 16, 21, 14, 19, 12, 17, 10, 14, 7, 12, 5, 9, 3, 7, 1, 6, -1, 4, -3, 2, -4, 1, -5, 0, -7, 1, -7, 1, -7, 3, -6, 4, -5, 6, -4,
7, -4, 8, -3, 10, -2, 12, -1, 13, 1, 14, 2, 15, 2, 14, 2, 12, 1, 10, 0, 8, 0, 6, -1, 3, -3, -1, -5, -5, -6, -9, -8, -14, -10, -18, -12, -21, -13, -24, -14, -27, -14, -28, -15, -29, -14, -29, -14, -29, -13, -27, -12, -25, -11, -22, -9, -18, -6, -14, -4, -10, -2, -6, 0,
-2, 2, 2, 4, 7, 6, 11, 9, 15, 10, 17, 11, 19, 12, 20, 12, 20, 12, 20, 12, 19, 11, 17, 10, 14, 8, 11, 6, 7, 4, 3, 2, -1, 0, -5, -2, -8, -3, -10, -4, -13, -5, -15, -6, -16, -6, -17, -6, -17, -6, -15, -5, -14, -4, -11, -3, -9, -2, -6, -1, -4, 0, 0, 1,
3, 2, 6, 3, 9, 4, 11, 4, 13, 3, 13, 2, 14, 1, 14, 0, 13, -1, 12, -3, 10, -4, 8, -6, 5, -8, 2, -9, -1, -11, -4, -12, -6, -13, -8, -13, -10, -14, -11, -14, -12, -14, -13, -14, -13, -13, -13, -12, -11, -10, -9, -8, -7, -7, -4, -5, -2, -3, 1, -1, 4, 1, 7, 3,
10, 5, 13, 6, 15, 7, 15, 7, 16, 7, 15, 6, 15, 5, 13, 5, 12, 3, 9, 2, 7, 1, 4, 0, 1, -1, -1, -2, -4, -3, -5, -3, -6, -3, -7, -3, -7, -2, -8, -2, -7, -1, -6, 1, -4, 2, -1, 5, 2, 7, 6, 9, 9, 11, 12, 13, 15, 15, 19, 18, 22, 20, 25, 21,
27, 22, 28, 22, 28, 21, 27, 20, 25, 18, 23, 16, 20, 13, 16, 10, 12, 7, 7, 3, 2, 0, -3, -4, -8, -7, -12, -11, -17, -14, -20, -16, -24, -19, -27, -21, -29, -22, -30, -24, -31, -24, -30, -24, -29, -23, -27, -22, -25, -21, -23, -20, -20, -19, -17, -17, -14, -16, -11, -14, -8, -13, -7, -12,
-6, -12, -5, -12, -5, -12, -5, -12, -5, -12, -5, -12, -6, -12, -8, -12, -9, -13, -11, -13, -13, -13, -14, -13, -16, -13, -16, -13, -17, -12, -17, -12, -17, -11, -16, -10, -15, -8, -13, -6, -10, -3, -7, 0, -3, 2, 0, 5, 4, 8, 7, 10, 11, 13, 15, 15, 18, 17, 20, 18, 21, 19, 21, 19,
21, 18, 20, 17, 19, 16, 17, 15, 14, 13, 11, 11, 8, 9, 5, 7, 1, 5, -2, 4, -5, 2, -7, 1, -9, -1, -10, -2, -12, -3, -12, -4, -12, -4, -11, -4, -9, -4, -6, -3, -3, -2, 0, -1, 3, 0, 6, 1, 9, 1, 13, 2, 17, 3, 20, 4, 22, 4, 23, 3, 23, 3, 23, 2,
23, 1, 21, 0, 20, -2, 17, -4, 14, -5, 10, -7, 6, -10, 2, -11, -2, -13, -5, -15, -8, -16, -11, -17, -13, -17, -14, -17, -16, -17, -16, -16, -15, -14, -13, -12, -10, -9, -7, -6, -5, -4, -2, -1, 1, 2, 4, 4, 8, 7, 11, 10, 14, 12, 15, 13, 17, 14, 17, 15, 18, 16, 18, 17,
17, 18, 16, 17, 15, 17, 13, 16, 10, 15, 7, 14, 5, 13, 2, 11, 0, 10, -2, 9, -4, 8, -5, 7, -6, 6, -6, 5, -6, 5, -5, 5, -3, 6, -1, 6, 1, 7, 3, 7, 5, 7, 7, 7, 9, 7, 11, 6, 12, 6, 13, 4, 12, 2, 11, 0, 9, -3, 7, -5, 4, -8, 2, -10,
-2, -13, -6, -16, -10, -19, -14, -21, -18, -24, -22, -25, -25, -27, -28, -28, -30, -28, -31, -28, -32, -28, -32, -27, -31, -26, -29, -24, -26, -22, -23, -19, -20, -16, -16, -14, -13, -11, -9, -8, -5, -6, -1, -3, 4, 0, 7, 2, 10, 4, 11, 5, 12, 6, 13, 6, 13, 7, 13, 6, 11, 6, 9, 5,
6, 4, 3, 2, 0, 1, -3, 0, -6, -1, -9, -2, -11, -2, -13, -2, -14, -2, -15, -1, -15, -1, -14, 0, -13, 2, -11, 4, -8, 6, -5, 7, -3, 9, 0, 10, 3, 12, 6, 13, 10, 15, 13, 16, 16, 16, 17, 16, 19, 16, 20, 15, 20, 14, 20, 13, 19, 11, 18, 9, 16, 7, 13, 4,
10, 1, 8, -1, 5, -4, 2, -6, 0, -8, -2, -10, -3, -12, -5, -13, -6, -14, -6, -15, -6, -15, -5, -15, -3, -14, -1, -13, 0, -11, 2, -10, 3, -9, 5, -7, 8, -6, 10, -4, 11, -3, 11, -2, 10, -2, 9, -2, 8, -2, 6, -3, 3, -3, 0, -4, -3, -5, -7, -7, -11, -8, -14, -9,
-18, -10, -20, -11, -23, -11, -25, -11, -26, -11, -26, -11, -26, -10, -26, -10, -24, -8, -22, -7, -19, -5, -15, -3, -11, 0, -7, 2, -3, 4, 1, 6, 5, 9, 10, 11, 14, 13, 18, 15, 20, 15, 21, 16, 22, 15, 22, 15, 22, 14, 21, 13, 18, 11, 16, 9, 12, 7, 9, 5, 5, 2, 2, 0,
-2, -2, -5, -3, -7, -5, -9, -6, -11, -7, -12, -8, -13, -8, -13, -9, -12, -8, -11, -8, -9, -7, -7, -7, -5, -6, -3, -6, 0, -5, 2, -5, 5, -4, 7, -4, 8, -4, 9, -4, 9, -5, 9, -6, 8, -7, 7, -8, 6, -9, 4, -10, 2, -11, -1, -12, -3, -13, -6, -14, -8, -15, -10, -15,
-12, -15, -13, -15, -14, -15, -15, -15, -15, -14, -15, -13, -13, -11, -11, -9, -8, -6, -5, -4, -2, -2, 1, 1, 4, 3, 8, 5, 11, 7, 15, 9, 17, 10, 18, 11, 19, 11, 19, 11, 18, 10, 17, 9, 16, 9, 14, 7, 11, 6, 9, 5, 6, 4, 3, 2, 0, 1, -2, 0, -4, -1, -6, -1,
-7, -2, -8, -2, -9, -2, -9, -2, -8, -1, -6, 0, -3, 1, 0, 3, 3, 5, 6, 7, 9, 8, 12, 10, 16, 12, 19, 14, 22, 15, 23, 15, 24, 15, 23, 14, 23, 12, 21, 11, 19, 9, 16, 7, 13, 4, 8, 1, 4, -2, -1, -5, -6, -8, -10, -11, -15, -14, -18, -16, -22, -18, -25, -20,
-27, -21, -29, -22, -31, -23, -31, -23, -30, -22, -28, -21, -27, -20, -25, -18, -23, -17, -20, -16, -18, -14, -15, -12, -12, -11, -10, -9, -8, -9, -7, -8, -6, -7, -6, -7, -5, -6, -5, -6, -6, -6, -6, -6, -7, -6, -9, -6, -10, -6, -12, -7, -13, -7, -14, -6, -14, -6, -14, -5, -14, -5, -13, -4,
-12, -2, -10, 0, -8, 2, -4, 4, 0, 7, 3, 10, 6, 12, 10, 14, 13, 16, 16, 18, 19, 19, 22, 20, 23, 20, 24, 20, 23, 19, 23, 18, 21, 17, 20, 15, 17, 13, 15, 11, 11, 9, 8, 6, 4, 4, 0, 1, -3, -1, -6, -3, -9, -5, -11, -7, -13, -8, -14, -9, -15, -10, -15, -11,
-14, -11, -12, -10, -9, -9, -6, -8, -3, -7, 0, -6, 3, -5, 7, -3, 10, -2, 14, 0, 17, 1, 19, 1, 20, 2, 21, 1, 21, 1, 20, 1, 19, 0, 17, -1, 15, -3, 12, -5, 8, -6, 4, -8, 1, -10, -3, -11, -6, -12, -8, -13, -11, -14, -12, -14, -13, -14, -14, -14, -14, -13, -13, -11,
-11, -10, -9, -8, -6, -6, -4, -4, -2, -2, 1, 1, 4, 3, 7, 5, 10, 7, 12, 9, 14, 11, 15, 12, 16, 12, 16, 13, 16, 13, 15, 13, 14, 12, 11, 11, 9, 10, 6, 8, 3, 6, 0, 4, -2, 3, -4, 1, -6, 0, -7, -1, -9, -2, -9, -3, -9, -4, -9, -4, -8, -4, -6, -3,
-4, -3, -2, -3, -1, -3, 1, -3, 3, -4, 5, -4, 6, -4, 7, -5, 7, -6, 7, -8, 5, -9, 4, -11, 1, -13, -1, -16, -4, -18, -8, -20, -12, -22, -16, -24, -20, -26, -23, -27, -27, -28, -29, -29, -31, -29, -33, -29, -34, -29, -34, -28, -34, -27, -33, -25, -31, -23, -29, -21, -25, -18, -21, -15,
-18, -12, -14, -9, -10, -6, -6, -3, -1, 0, 3, 3, 7, 5, 10, 7, 11, 8, 13, 9, 13, 9, 13, 9, 13, 9, 11, 8, 9, 7, 7, 6, 4, 5, 2, 4, -1, 3, -3, 2, -5, 2, -7, 1, -8, 1, -9, 1, -10, 1, -10, 2, -9, 2, -8, 3, -6, 4, -3, 6, -1, 7, 2, 8,
5, 9, 7, 11, 11, 12, 14, 13, 17, 14, 19, 14, 21, 14, 21, 14, 22, 13, 21, 11, 21, 10, 20, 8, 18, 6, 15, 4, 12, 1, 9, -1, 7, -4, 4, -6, 1, -8, -1, -10, -3, -11, -4, -13, -6, -14, -6, -14, -7, -14, -6, -14, -5, -13, -3, -11, -1, -10, 1, -8, 3, -6, 5, -5,
7, -3, 9, -1, 11, 1, 12, 2, 13, 3, 12, 3, 11, 3, 9, 3, 7, 3, 5, 2, 2, 1, -1, 0, -4, -1, -8, -2, -11, -3, -14, -4, -17, -5, -20, -6, -21, -6, -23, -7, -24, -7, -24, -7, -24, -7, -23, -6, -21, -5, -17, -3, -14, -1, -10, 1, -7, 3, -3, 5, 1, 7, 6, 9,
10, 11, 14, 12, 16, 13, 18, 13, 19, 13, 20, 12, 20, 11, 19, 10, 18, 8, 15, 6, 13, 4, 10, 2, 6, 0, 3, -2, -1, -4, -4, -6, -7, -8, -9, -9, -11, -10, -13, -12, -15, -13, -16, -13, -16, -14, -15, -14, -14, -13, -12, -13, -11, -12, -9, -12, -7, -11, -5, -10, -3, -9, -1, -9,
1, -8, 2, -8, 2, -8, 2, -8, 2, -8, 1, -9, 0, -9, -1, -10, -3, -10, -5, -11, -7, -12, -10, -13, -12, -13, -14, -14, -16, -14, -17, -14, -18, -14, -18, -14, -18, -13, -18, -12, -16, -10, -14, -8, -11, -6, -7, -3, -4, -1, 0, 2, 3, 4, 7, 6, 10, 8, 14, 10, 17, 12, 19, 13,
21, 13, 21, 13, 21, 13, 21, 12, 20, 12, 19, 11, 17, 9, 15, 8, 12, 6, 9, 5, 6, 3, 3, 1, 0, -1, -2, -2, -4, -3, -6, -4, -7, -5, -8, -5, -8, -6, -7, -5, -5, -4, -3, -3, 0, -1, 3, 0, 6, 2, 8, 3, 11, 5, 14, 6, 17, 8, 20, 9, 21, 9, 22, 9,
21, 8, 20, 7, 19, 6, 17, 4, 14, 3, 11, 0, 7, -2, 3, -5, -2, -7, -6, -10, -10, -12, -14, -14, -18, -16, -21, -17, -24, -18, -26, -19, -28, -20, -29, -20, -29, -20, -28, -19, -27, -18, -25, -17, -23, -16, -21, -15, -20, -13, -17, -12, -14, -10, -12, -9, -9, -8, -8, -7, -7, -6, -6, -6,
-5, -5, -5, -5, -5, -5, -5, -5, -6, -6, -7, -6, -9, -7, -11, -8, -12, -8, -13, -9, -14, -9, -15, -9, -15, -8, -14, -7, -13, -6, -12, -5, -10, -4, -7, -2, -4, 0, 0, 2, 3, 4, 6, 6, 8, 8, 11, 9, 14, 10, 17, 12, 19, 12, 20, 13, 21, 12, 20, 12, 19, 10, 18, 9,
16, 8, 14, 6, 11, 4, 7, 2, 3, -1, -1, -3, -5, -6, -8, -8, -12, -10, -14, -12, -16, -13, -18, -14, -19, -15, -20, -15, -19, -15, -19, -15, -16, -14, -14, -12, -11, -10, -7, -9, -4, -7, -1, -5, 3, -3, 7, -1, 10, 1, 13, 3, 16, 4, 17, 5, 18, 5, 19, 5, 18, 5, 18, 5,
16, 4, 14, 2, 11, 1, 8, -1, 5, -2, 2, -4, -1, -5, -4, -6, -6, -7, -7, -7, -9, -8, -10, -8, -10, -8, -10, -8, -9, -7, -7, -6, -5, -4, -3, -2, -1, -1, 2, 1, 4, 3, 7, 5, 11, 7, 13, 10, 16, 11, 18, 12, 18, 13, 19, 13, 19, 13, 18, 13, 17, 13, 16, 12,
13, 11, 11, 9, 8, 7, 5, 6, 3, 4, 0, 3, -2, 1, -4, 0, -5, 0, -6, -1, -7, -2, -7, -2, -6, -3, -5, -2, -4, -2, -2, -2, 0, -1, 1, -1, 3, -1, 5, -1, 6, -1, 8, -1, 9, -1, 9, -2, 8, -3, 7, -5, 5, -6, 3, -8, 1, -9, -2, -11, -6, -13, -10, -14,
-13, -16, -17, -18, -21, -19, -24, -20, -27, -21, -29, -22, -31, -22, -32, -22, -33, -22, -33, -21, -32, -20, -31, -19, -28, -17, -25, -14, -21, -12, -17, -9, -14, -6, -10, -4, -5, -1, -1, 1, 3, 3, 6, 5, 9, 6, 10, 7, 11, 7, 12, 7, 12, 7, 11, 6, 10, 6, 8, 5, 6, 3, 3, 2,
1, 1, -2, 0, -4, -1, -6, -2, -7, -3, -9, -3, -10, -4, -11, -4, -11, -4, -11, -4, -9, -3, -7, -2, -5, 0, -3, 1, 0, 2, 2, 3, 5, 5, 8, 6, 11, 8, 14, 9, 16, 9, 17, 9, 17, 9, 17, 8, 17, 7, 16, 6, 15, 4, 13, 2, 10, 0, 7, -2, 4, -4, 1, -6,
-1, -8, -4, -10, -6, -11, -8, -13, -9, -13, -10, -14, -11, -14, -11, -14, -10, -13, -9, -12, -7, -10, -4, -9, -2, -7, 0, -6, 2, -4, 4, -2, 6, -1, 8, 1, 10, 2, 10, 3, 10, 3, 9, 3, 8, 3, 7, 2, 5, 2, 3, 1, 0, 0, -3, -1, -6, -2, -9, -4, -12, -5, -15, -6,
-18, -8, -19, -8, -21, -9, -22, -9, -22, -9, -22, -9, -21, -9, -18, -7, -15, -6, -12, -4, -8, -2, -4, 0, 0, 2, 3, 4, 7, 6, 11, 8, 15, 10, 18, 11, 19, 11, 21, 11, 21, 11, 21, 10, 21, 9, 20, 8, 18, 7, 15, 6, 12, 4, 9, 2, 6, 0, 2, -2, -1, -4, -4, -5,
-6, -7, -9, -8, -11, -9, -12, -10, -13, -11, -13, -11, -13, -11, -12, -10, -11, -10, -9, -9, -8, -9, -6, -8, -5, -7, -3, -6, -1, -5, 1, -5, 2, -4, 2, -4, 2, -4, 2, -5, 1, -5, 0, -6, -1, -6, -3, -7, -5, -8, -8, -10, -10, -11, -13, -12, -15, -13, -17, -14, -18, -14, -18, -14,
-18, -13, -18, -13, -17, -12, -15, -11, -13, -9, -10, -7, -6, -5, -2, -2, 1, 0, 4, 2, 8, 4, 11, 6, 15, 7, 18, 9, 20, 11, 22, 11, 23, 12, 23, 12, 23, 12, 23, 12, 22, 11, 20, 10, 17, 8, 14, 7, 11, 5, 8, 3, 4, 1, 1, 0, -2, -2, -4, -3, -6, -4, -7, -5,
-8, -5, -8, -5, -7, -5, -6, -4, -4, -3, -2, -1, 1, 0, 3, 2, 6, 3, 8, 5, 11, 6, 14, 7, 16, 8, 17, 9, 18, 9, 18, 8, 17, 8, 16, 7, 14, 5, 12, 4, 8, 2, 5, 0, 1, -2, -3, -4, -8, -7, -12, -9, -15, -11, -18, -12, -21, -14, -24, -15, -26, -16, -27, -17,
-29, -17, -29, -17, -28, -17, -27, -16, -25, -15, -23, -14, -22, -13, -19, -12, -17, -11, -14, -9, -11, -8, -8, -6, -6, -5, -5, -5, -4, -4, -3, -4, -3, -4, -3, -4, -3, -4, -4, -4, -5, -5, -7, -5, -8, -6, -9, -6, -10, -6, -11, -6, -11, -5, -11, -5, -10, -4, -9, -3, -8, -1, -6, 0,
-3, 2, 0, 4, 3, 6, 6, 8, 9, 10, 11, 11, 14, 13, 17, 15, 20, 16, 22, 17, 23, 18, 24, 17, 23, 17, 22, 16, 21, 15, 19, 13, 16, 11, 13, 9, 9, 7, 5, 4, 1, 1, -3, -1, -7, -4, -10, -6, -13, -8, -15, -10, -17, -11, -19, -12, -19, -13, -20, -13, -19, -13, -17, -12,
-15, -11, -12, -9, -9, -8, -6, -6, -3, -4, 1, -2, 5, 0, 8, 2, 12, 3, 14, 4, 16, 5, 17, 5, 17, 5, 17, 4, 17, 4, 15, 3, 14, 2, 11, 1, 9, -1, 6, -2, 3, -4, 1, -5, -2, -6, -4, -7, -5, -8, -7, -9, -8, -9, -9, -9, -9, -9, -8, -8, -7, -7, -5, -6,
-3, -4, 0, -2, 2, -1, 5, 1, 8, 4, 11, 6, 14, 8, 16, 10, 18, 11, 18, 12, 19, 12, 19, 12, 18, 12, 17, 11, 15, 10, 13, 9, 10, 8, 8, 6, 5, 5, 2, 3, -1, 2, -3, 0, -5, -1, -6, -2, -8, -3, -9, -4, -9, -5, -9, -5, -8, -6, -7, -6, -6, -5, -4, -5,
-3, -5, -2, -5, 0, -5, 1, -5, 3, -5, 4, -5, 4, -6, 4, -7, 2, -8, 1, -9, -1, -10, -3, -11, -6, -13, -9, -14, -12, -16, -16, -18, -19, -19, -23, -21, -26, -22, -29, -23, -31, -24, -33, -24, -34, -24, -34, -24, -34, -24, -33, -22, -31, -21, -29, -19, -25, -16, -21, -13, -17, -11, -13, -8,
-9, -5, -5, -3, 0, 0, 4, 2, 7, 5, 10, 6, 12, 7, 13, 8, 14, 9, 15, 9, 15, 9, 14, 9, 13, 9, 11, 8, 9, 7, 7, 6, 4, 5, 2, 4, 0, 3, -2, 3, -3, 2, -4, 1, -5, 1, -6, 1, -6, 1, -5, 2, -3, 3, -1, 4, 1, 5, 3, 7, 6, 8, 8, 9,
11, 10, 13, 11, 16, 12, 18, 13, 19, 13, 19, 12, 19, 12, 19, 10, 18, 9, 16, 8, 14, 6, 12, 4, 9, 2, 6, 0, 3, -2, 0, -5, -3, -6, -5, -8, -7, -9, -8, -10, -9, -10, -10, -11, -10, -11, -9, -10, -8, -9, -6, -8, -4, -6, -2, -5, 0, -4, 2, -2, 4, -1, 6, 1,
8, 2, 10, 4, 11, 5, 12, 5, 12, 6, 11, 6, 10, 6, 9, 6, 7, 5, 5, 4, 2, 3, -1, 2, -4, 0, -7, -1, -10, -2, -13, -4, -15, -4, -16, -5, -17, -5, -18, -5, -17, -5, -17, -4, -15, -3, -12, -2, -9, 0, -6, 2, -2, 4, 1, 5, 4, 7, 8, 8, 11, 10, 14, 11,
17, 12, 19, 13, 20, 13, 20, 13, 20, 12, 20, 11, 19, 10, 17, 9, 14, 7, 11, 5, 8, 3, 4, 1, 0, -1, -3, -3, -6, -5, -9, -7, -11, -9, -14, -10, -15, -11, -17, -12, -17, -13, -18, -13, -17, -13, -16, -13, -14, -12, -13, -12, -12, -11, -10, -10, -8, -9, -6, -8, -4, -7, -2, -6,
-1, -6, -1, -6, -1, -6, -1, -6, -2, -7, -3, -7, -5, -8, -6, -9, -8, -10, -10, -11, -12, -12, -14, -13, -16, -13, -16, -13, -17, -13, -17, -13, -16, -12, -15, -11, -13, -10, -11, -8, -8, -6, -5, -4, -1, -2, 2, 0, 6, 3, 9, 5, 13, 7, 16, 9, 20, 12, 23, 13, 25, 15, 27, 16,
27, 16, 27, 17, 27, 16, 26, 16, 24, 15, 22, 14, 19, 12, 16, 10, 12, 8, 9, 6, 5, 4, 2, 3, 0, 1, -2, 0, -4, -1, -5, -2, -6, -2, -6, -2, -5, -2, -4, -1, -2, 0, 0, 1, 2, 2, 5, 3, 7, 4, 9, 5, 12, 6, 14, 6, 16, 7, 16, 7, 16, 7, 16, 6,
15, 5, 13, 4, 11, 3, 8, 2, 5, 0, 2, -2, -2, -4, -6, -6, -10, -8, -13, -10, -16, -12, -19, -13, -22, -15, -24, -16, -25, -17, -27, -17, -27, -18, -27, -17, -26, -17, -24, -16, -22, -15, -20, -14, -18, -12, -15, -11, -12, -9, -9, -8, -7, -6, -4, -5, -3, -4, -2, -3, -1, -3, 0, -2,
0, -2, -1, -2, -1, -2, -2, -2, -3, -2, -4, -2, -6, -2, -7, -2, -7, -2, -8, -2, -8, -2, -8, -1, -7, -1, -7, 0, -5, 1, -4, 2, -2, 4, 1, 5, 4, 7, 6, 8, 9, 10, 11, 11, 14, 13, 16, 14, 19, 15, 20, 15, 21, 15, 21, 15, 20, 14, 18, 12, 16, 10, 14, 8,
11, 6, 7, 3, 3, 1, -1, -2, -5, -5, -9, -7, -12, -10, -15, -12, -18, -14, -20, -15, -22, -16, -23, -17, -23, -17, -23, -17, -21, -16, -19, -15, -16, -13, -13, -11, -9, -9, -6, -7, -2, -5, 1, -3, 5, -1, 8, 1, 11, 2, 14, 3, 15, 4, 16, 5, 17, 5, 17, 5, 17, 5, 16, 5,
14, 5, 13, 4, 11, 3, 8, 2, 6, 1, 4, 0, 1, -1, 0, -1, -2, -2, -3, -2, -4, -2, -4, -2, -4, -2, -3, -1, -1, 1, 1, 3, 4, 5, 6, 7, 9, 9, 12, 10, 14, 13, 17, 14, 20, 16, 21, 17, 22, 18, 23, 18, 23, 18, 22, 18, 21, 17, 20, 16, 18, 15, 15, 14,
13, 12, 10, 10, 7, 8, 4, 6, 1, 4, -1, 3, -3, 1, -4, -1, -6, -2, -7, -3, -7, -4, -7, -5, -7, -5, -5, -5, -4, -5, -3, -5, -2, -6, -1, -6, 0, -6, 2, -5, 3, -5, 3, -5, 3, -5, 3, -6, 1, -7, 0, -7, -2, -8, -4, -9, -6, -10, -9, -12, -13, -13, -16, -14,
-19, -16, -22, -17, -25, -18, -28, -19, -29, -20, -30, -20, -31, -19, -31, -19, -30, -17, -28, -16, -26, -14, -22, -12, -19, -9, -15, -6, -11, -4, -7, -1, -3, 1, 1, 4, 5, 6, 9, 8, 12, 10, 14, 12, 16, 13, 17, 13, 18, 14, 18, 14, 17, 14, 16, 13, 15, 12, 12, 11, 10, 10, 7, 8,
4, 7, 2, 5, -1, 4, -3, 2, -4, 1, -6, 0, -7, 0, -8, -1, -7, -1, -7, -1, -5, 0, -3, 0, -1, 1, 0, 1, 2, 2, 4, 3, 7, 4, 9, 4, 11, 5, 12, 5, 13, 4, 13, 4, 13, 3, 12, 2, 11, 1, 10, 0, 8, -2, 6, -3, 3, -5, 0, -7, -3, -8, -5, -10,
-8, -11, -9, -12, -11, -12, -12, -13, -13, -13, -13, -13, -12, -12, -11, -11, -10, -10, -8, -8, -6, -7, -3, -5, -1, -3, 1, -2, 4, 0, 6, 2, 9, 4, 10, 6, 12, 7, 12, 8, 12, 9, 12, 9, 11, 9, 10, 9, 8, 8, 6, 7, 3, 6, 0, 5, -3, 3, -5, 2, -8, 1, -10, 0,
-11, -1, -12, -1, -12, -1, -12, -1, -12, -1, -10, -1, -9, 0, -6, 1, -3, 3, 0, 4, 3, 5, 5, 6, 8, 7, 11, 8, 15, 10, 17, 10, 19, 11, 21, 11, 21, 11, 21, 11, 20, 10, 19, 9, 17, 8, 15, 6, 12, 4, 9, 2, 5, 0, 2, -2, -2, -5, -5, -7, -8, -9, -11, -10,
-14, -12, -16, -13, -17, -14, -18, -15, -19, -15, -18, -15, -17, -14, -16, -13, -14, -12, -13, -11, -11, -10, -8, -8, -6, -7, -4, -5, -1, -4, 0, -3, 1, -2, 2, -2, 2, -2, 1, -2, 1, -2, 0, -3, -1, -3, -3, -4, -5, -4, -6, -5, -8, -6, -9, -6, -10, -6, -11, -6, -11, -6, -11, -6,
-10, -5, -9, -4, -8, -3, -6, -2, -3, -1, 0, 1, 3, 3, 6, 5, 10, 7, 13, 9, 16, 11, 20, 13, 23, 15, 26, 16, 27, 17, 28, 17, 28, 17, 27, 17, 26, 16, 25, 15, 22, 13, 19, 11, 16, 9, 13, 7, 9, 5, 6, 3, 2, 1, -1, -1, -3, -3, -5, -4, -7, -5, -8, -6,
-9, -6, -9, -7, -8, -6, -6, -6, -4, -5, -2, -4, 0, -3, 2, -2, 4, -1, 6, 0, 8, 2, 10, 3, 11, 3, 12, 4, 12, 4, 11, 4, 10, 3, 9, 3, 7, 2, 4, 1, 2, 0, -2, -1, -5, -3, -8, -5, -12, -6, -15, -8, -17, -9, -20, -10, -22, -11, -24, -12, -25, -13, -25, -13,
-25, -13, -24, -12, -23, -11, -21, -10, -18, -9, -16, -8, -14, -6, -11, -5, -8, -3, -5, -1, -2, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 3, 1, 3, -1, 2, -2, 2, -3, 2, -4, 1, -4, 1, -5, 1, -5, 1, -5, 1, -4, 1, -3, 2, -2, 3,
0, 4, 3, 5, 5, 6, 7, 8, 10, 9, 12, 10, 14, 11, 16, 12, 18, 12, 19, 12, 19, 12, 19, 11, 17, 10, 16, 9, 14, 7, 11, 6, 8, 4, 5, 1, 1, -1, -3, -3, -6, -6, -10, -8, -13, -10, -16, -11, -18, -12, -20, -13, -21, -14, -21, -14, -21, -13, -20, -13, -18, -12, -15, -10,
-12, -8, -9, -6, -6, -4, -2, -2, 1, -1, 5, 1, 8, 3, 12, 5, 14, 7, 16, 8, 18, 9, 19, 9, 20, 10, 20, 10, 19, 10, 18, 9, 16, 8, 14, 7, 12, 6, 9, 4, 6, 3, 4, 1, 2, 0, 0, -1, -2, -2, -3, -2, -4, -3, -4, -3, -4, -2, -2, -1, -1, 0, 1, 1,
4, 2, 6, 4, 8, 5, 10, 6, 13, 8, 15, 9, 17, 10, 18, 11, 19, 11, 19, 11, 19, 11, 18, 10, 17, 10, 15, 9, 14, 8, 11, 6, 9, 4, 6, 3, 3, 1, 0, -1, -2, -3, -5, -4, -6, -6, -8, -7, -9, -8, -10, -9, -11, -10, -11, -10, -10, -10, -9, -10, -8, -10, -7, -9,
-6, -9, -5, -8, -3, -8, -2, -7, -1, -6, 0, -6, 0, -6, -1, -6, -2, -6, -3, -6, -5, -7, -6, -8, -9, -9, -12, -10, -15, -11, -18, -12, -20, -14, -23, -15, -25, -16, -27, -16, -28, -16, -28, -16, -28, -16, -28, -15, -26, -14, -24, -13, -21, -11, -18, -9, -14, -7, -11, -4, -7, -2, -3, 0,
1, 2, 5, 4, 9, 7, 12, 9, 15, 10, 18, 12, 19, 12, 20, 13, 20, 13, 20, 13, 19, 13, 18, 12, 16, 11, 14, 10, 11, 8, 8, 6, 5, 5, 2, 3, 0, 2, -2, 1, -4, 0, -5, -1, -6, -2, -7, -2, -7, -2, -6, -2, -4, -1, -3, 0, -1, 1, 1, 1, 3, 2, 5, 3,
8, 4, 10, 5, 12, 6, 13, 6, 14, 6, 14, 6, 14, 6, 13, 6, 12, 5, 11, 4, 9, 3, 7, 2, 4, 1, 2, 0, -1, -2, -3, -3, -5, -4, -7, -4, -8, -5, -9, -5, -10, -6, -10, -6, -10, -5, -9, -5, -8, -4, -6, -3, -4, -1, -2, 0, 0, 1, 2, 3, 5, 5, 7, 6,
9, 8, 11, 9, 12, 10, 12, 10, 12, 10, 12, 10, 11, 10, 9, 9, 7, 8, 5, 7, 2, 5, 0, 4, -3, 2, -5, 1, -7, 0, -9, -1, -10, -2, -10, -2, -11, -3, -11, -3, -10, -3, -9, -3, -7, -2, -5, -1, -2, 0, 0, 1, 3, 2, 6, 3, 8, 4, 11, 6, 14, 7, 16, 8,
18, 8, 19, 9, 19, 9, 18, 8, 17, 8, 16, 7, 14, 6, 11, 4, 8, 2, 4, 0, 1, -2, -3, -4, -6, -6, -10, -8, -13, -9, -16, -11, -18, -12, -20, -13, -21, -14, -22, -14, -22, -14, -22, -14, -20, -13, -18, -12, -16, -10, -14, -9, -12, -8, -10, -6, -7, -5, -5, -4, -2, -3, -1, -2,
0, -1, 1, -1, 2, -1, 2, -1, 1, -1, 1, -1, 0, -1, -1, -2, -2, -3, -4, -3, -5, -4, -6, -5, -7, -5, -7, -5, -8, -5, -8, -5, -7, -5, -6, -5, -5, -4, -3, -3, 0, -1, 3, 0, 6, 2, 9, 4, 12, 6, 15, 8, 18, 10, 22, 11, 24, 13, 26, 14, 27, 15, 28, 15,
28, 15, 27, 14, 26, 14, 24, 13, 21, 11, 19, 10, 15, 8, 12, 6, 9, 4, 6, 2, 3, 1, 0, -1, -3, -2, -4, -3, -6, -4, -7, -5, -8, -5, -7, -5, -7, -5, -5, -4, -4, -3, -2, -2, 0, -1, 2, 0, 3, 1, 5, 2, 7, 3, 9, 4, 10, 5, 11, 5, 10, 6, 10, 5,
9, 5, 7, 5, 5, 4, 3, 3, 0, 1, -3, 0, -6, -2, -10, -4, -13, -6, -16, -8, -19, -10, -21, -11, -23, -12, -25, -13, -25, -14, -26, -14, -25, -14, -24, -14, -22, -13, -20, -12, -17, -10, -15, -9, -12, -8, -9, -7, -7, -5, -4, -4, -1, -2, 1, -1, 2, 0, 4, 0, 4, 1, 5, 1,
5, 2, 5, 2, 4, 2, 3, 2, 2, 1, 1, 1, -1, 0, -2, -1, -3, -1, -4, -1, -5, -2, -5, -2, -6, -2, -5, -2, -5, -1, -3, 0, -2, 1, 0, 2, 2, 3, 4, 4, 6, 5, 8, 6, 10, 7, 11, 8, 13, 8, 14, 9, 14, 8, 13, 8, 12, 7, 10, 6, 8, 5, 6, 3,
3, 1, 0, 0, -3, -2, -7, -4, -10, -6, -13, -8, -16, -9, -18, -11, -20, -11, -21, -12, -21, -12, -21, -12, -21, -12, -19, -11, -17, -10, -14, -9, -11, -7, -8, -5, -4, -4, -1, -2, 3, 0, 6, 2, 10, 4, 13, 5, 16, 7, 18, 8, 20, 9, 21, 10, 21, 10, 21, 10, 20, 10, 19, 9,
17, 8, 15, 7, 13, 5, 10, 4, 7, 3, 5, 2, 3, 1, 1, 0, 0, -1, -1, -1, -2, -1, -2, -1, -1, 0, 0, 0, 2, 2, 4, 3, 6, 4, 8, 6, 10, 7, 12, 8, 15, 10, 17, 11, 19, 12, 20, 13, 21, 14, 21, 14, 21, 14, 20, 13, 19, 13, 17, 12, 15, 11, 12, 9,
10, 8, 7, 6, 4, 4, 1, 2, -1, 1, -4, -1, -6, -2, -8, -4, -9, -5, -10, -6, -11, -7, -11, -7, -10, -7, -9, -7, -8, -6, -7, -6, -6, -5, -5, -5, -4, -4, -3, -3, -1, -3, -1, -3, -1, -2, -1, -3, -2, -3, -3, -4, -5, -5, -7, -6, -9, -7, -11, -8, -14, -10, -17, -11,
-19, -12, -21, -13, -23, -14, -24, -14, -25, -15, -25, -15, -25, -14, -24, -14, -22, -13, -20, -12, -18, -11, -15, -9, -11, -7, -8, -5, -4, -3, 0, -1, 3, 1, 7, 4, 11, 6, 14, 8, 17, 10, 19, 11, 20, 11, 20, 12, 20, 12, 19, 12, 18, 11, 16, 10, 14, 9, 11, 8, 8, 6, 5, 5,
2, 3, -1, 2, -3, 0, -5, -1, -7, -2, -8, -3, -9, -3, -10, -4, -9, -4, -9, -3, -7, -3, -6, -2, -4, -1, -2, -1, 0, 0, 2, 1, 4, 2, 6, 3, 8, 4, 9, 4, 10, 4, 10, 4, 10, 4, 10, 4, 9, 3, 7, 2, 6, 2, 4, 0, 1, -1, -1, -2, -3, -3, -5, -4,
-7, -6, -9, -7, -10, -7, -11, -8, -12, -8, -12, -9, -12, -8, -11, -8, -9, -7, -7, -6, -5, -4, -3, -3, -1, -2, 1, 0, 4, 1, 6, 3, 8, 4, 10, 5, 10, 6, 11, 6, 11, 7, 10, 6, 9, 6, 8, 6, 6, 5, 5, 4, 3, 4, 1, 3, -1, 2, -3, 1, -5, 0, -6, -1,
-7, -1, -8, -2, -8, -2, -8, -2, -7, -2, -6, -1, -4, 0, -2, 1, 1, 2, 3, 3, 6, 5, 9, 6, 11, 7, 14, 8, 16, 10, 18, 11, 19, 11, 20, 11, 19, 11, 18, 10, 17, 10, 15, 9, 13, 7, 10, 5, 6, 3, 3, 1, -1, -1, -5, -3, -9, -5, -12, -7, -15, -9, -18, -11,
-20, -12, -22, -13, -23, -14, -23, -14, -23, -14, -22, -14, -20, -13, -18, -12, -16, -11, -14, -10, -12, -9, -9, -8, -6, -6, -4, -5, -1, -4, 1, -3, 2, -2, 3, -2, 4, -1, 4, -1, 4, -1, 4, -1, 3, -1, 3, -1, 1, -2, 0, -2, -1, -3, -2, -3, -3, -4, -4, -4, -4, -4, -4, -4,
-3, -3, -3, -3, -1, -2, 1, 0, 3, 1, 6, 3, 9, 5, 12, 6, 14, 8, 17, 10, 20, 11, 22, 13, 24, 14, 25, 15, 26, 15, 26, 15, 25, 15, 24, 15, 23, 14, 21, 13, 18, 12, 15, 10, 12, 8, 9, 6, 6, 5, 3, 3, 0, 1, -3, -1, -5, -2, -7, -3, -8, -4, -9, -5,
-9, -5, -9, -5, -8, -5, -7, -5, -6, -4, -4, -3, -2, -2, -1, -2, 1, -1, 3, 0, 5, 1, 6, 2, 7, 3, 7, 3, 7, 3, 6, 3, 5, 3, 4, 2, 1, 1, -1, -1, -4, -2, -7, -4, -10, -6, -14, -8, -17, -9, -19, -11, -22, -12, -23, -13, -25, -14, -25, -14, -26, -14, -25, -14,
-24, -13, -22, -12, -20, -11, -17, -10, -14, -8, -11, -6, -8, -5, -5, -3, -2, -1, 1, 1, 4, 3, 6, 4, 8, 6, 9, 7, 11, 8, 11, 9, 11, 9, 11, 9, 10, 9, 9, 9, 7, 8, 5, 7, 4, 7, 2, 6, 0, 5, -1, 4, -2, 4, -3, 3, -3, 3, -3, 3, -3, 3, -2, 3,
-1, 3, 0, 4, 2, 5, 3, 5, 4, 5, 6, 6, 7, 6, 8, 7, 10, 7, 10, 7, 10, 6, 9, 6, 8, 5, 6, 4, 4, 2, 2, 1, 0, -1, -3, -2, -6, -4, -9, -6, -11, -7, -14, -9, -16, -10, -17, -11, -18, -12, -19, -12, -19, -12, -18, -12, -17, -12, -15, -11, -13, -10, -10, -8,
-7, -7, -4, -5, -1, -3, 3, -1, 6, 1, 10, 3, 13, 5, 16, 6, 19, 8, 20, 9, 21, 10, 22, 10, 22, 11, 21, 11, 20, 10, 19, 9, 16, 9, 14, 7, 11, 6, 9, 5, 6, 4, 4, 3, 2, 2, 1, 1, -1, 1, -1, 0, -2, 0, -2, 0, -1, 1, 0, 1, 2, 2, 4, 3,
5, 4, 7, 5, 9, 6, 12, 7, 14, 8, 16, 9, 17, 10, 18, 10, 19, 11, 18, 10, 18, 10, 17, 9, 15, 8, 13, 7, 11, 5, 8, 4, 5, 2, 2, 0, -1, -2, -4, -4, -7, -6, -9, -8, -12, -9, -13, -11, -15, -12, -16, -13, -16, -13, -16, -13, -15, -13, -14, -12, -13, -12, -12, -11,
-10, -10, -9, -9, -7, -8, -6, -7, -4, -6, -4, -6, -3, -5, -3, -5, -4, -5, -5, -5, -6, -6, -7, -6, -8, -7, -10, -7, -12, -8, -14, -8, -16, -9, -17, -10, -18, -10, -19, -10, -19, -10, -19, -10, -18, -9, -17, -9, -16, -8, -14, -6, -11, -5, -8, -3, -4, -1, -1, 1, 2, 3, 6, 5,
9, 7, 13, 9, 16, 11, 19, 13, 21, 14, 22, 15, 22, 15, 22, 15, 21, 15, 20, 14, 18, 13, 16, 12, 13, 11, 10, 9, 7, 7, 4, 5, 1, 4, -1, 2, -4, 0, -6, -1, -7, -2, -9, -3, -10, -4, -10, -4, -9, -4, -8, -4, -7, -4, -5, -3, -3, -2, -2, -2, 0, -1, 3, 0,
5, 1, 7, 2, 8, 3, 10, 4, 10, 4, 10, 4, 10, 5, 10, 4, 9, 4, 8, 4, 6, 3, 4, 2, 2, 1, 0, 0, -2, -1, -5, -2, -6, -3, -8, -4, -9, -4, -10, -5, -10, -5, -10, -4, -10, -4, -8, -3, -7, -2, -5, -1, -3, 1, -1, 2, 1, 3, 4, 5, 6, 6, 8, 8,
10, 9, 11, 10, 11, 10, 12, 10, 11, 10, 11, 10, 10, 10, 9, 9, 7, 8, 5, 7, 3, 6, 1, 5, -1, 3, -3, 2, -5, 1, -6, 0, -7, -1, -8, -2, -8, -2, -8, -3, -7, -3, -6, -3, -4, -2, -2, -1, 0, 0, 2, 1, 5, 2, 7, 3, 9, 4, 11, 5, 13, 5, 15, 6,
15, 6, 15, 6, 14, 6, 13, 5, 11, 4, 9, 3, 7, 2, 4, 0, 0, -2, -3, -4, -7, -6, -11, -8, -14, -9, -17, -11, -20, -12, -22, -13, -23, -14, -24, -14, -25, -15, -24, -15, -23, -14, -22, -13, -20, -12, -17, -11, -15, -10, -12, -8, -9, -7, -6, -5, -3, -3, 0, -2, 2, 0, 5, 1,
6, 3, 8, 3, 9, 4, 9, 5, 10, 5, 9, 5, 9, 5, 8, 5, 7, 4, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 3, 2, 4, 3, 6, 4, 8, 5, 10, 6, 12, 7, 14, 8, 16, 9, 18, 10, 20, 11, 22, 12, 23, 13, 24, 13, 24, 13, 23, 13,
23, 12, 21, 12, 20, 11, 18, 10, 15, 8, 12, 7, 9, 5, 6, 3, 3, 2, 0, 0, -2, -2, -4, -3, -6, -4, -7, -5, -8, -6, -9, -6, -9, -6, -9, -6, -7, -6, -6, -5, -4, -4, -3, -3, -1, -2, 1, -1, 3, 1, 4, 2, 6, 3, 7, 4, 7, 5, 7, 5, 7, 5, 5, 4,
4, 4, 2, 3, -1, 2, -3, 0, -6, -1, -10, -3, -13, -5, -16, -6, -18, -8, -21, -9, -22, -10, -24, -11, -24, -12, -25, -12, -24, -12, -23, -12, -22, -11, -20, -10, -17, -9, -14, -7, -12, -6, -8, -4, -5, -3, -2, -1, 2, 1, 5, 3, 7, 4, 10, 6, 11, 7, 12, 8, 13, 8, 13, 8,
13, 8, 12, 8, 10, 7, 8, 6, 6, 5, 4, 4, 2, 3, 0, 1, -2, 0, -4, -1, -5, -2, -6, -2, -7, -3, -7, -3, -7, -3, -6, -3, -6, -3, -4, -2, -3, -2, -2, -2, -1, -1, 0, -1, 2, 0, 3, 1, 4, 1, 4, 1, 4, 1, 4, 1, 3, 1, 2, 0, 1, 0, -1, -1,
-3, -2, -5, -3, -7, -4, -9, -5, -11, -5, -12, -6, -13, -7, -14, -7, -15, -8, -15, -8, -14, -8, -13, -7, -12, -6, -10, -5, -7, -4, -4, -2, -1, -1, 2, 1, 5, 3, 9, 5, 12, 7, 15, 9, 18, 10, 20, 12, 22, 13, 23, 14, 23, 14, 23, 14, 23, 14, 21, 14, 20, 13, 18, 12,
15, 11, 13, 9, 11, 8, 8, 7, 6, 5, 4, 4, 2, 3, 1, 3, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 3, 2, 4, 3, 6, 4, 8, 5, 10, 6, 13, 7, 15, 8, 17, 9, 19, 10, 20, 11, 20, 11, 20, 11, 20, 11, 19, 10, 17, 10, 15, 9, 13, 7, 10, 6, 7, 4,
3, 2, 0, 0, -3, -2, -6, -3, -9, -5, -11, -6, -13, -8, -15, -9, -16, -9, -17, -10, -17, -10, -16, -9, -15, -9, -14, -8, -13, -7, -11, -6, -10, -5, -8, -4, -6, -3, -5, -2, -3, -2, -3, -1, -2, -1, -2, 0, -2, 0, -3, 0, -3, 0, -4, -1, -6, -1, -7, -2, -9, -2, -10, -3,
-12, -4, -13, -5, -14, -5, -14, -6, -14, -6, -14, -6, -14, -6, -13, -5, -11, -5, -9, -4, -6, -2, -3, -1, 0, 1, 3, 2, 6, 4, 9, 5, 12, 7, 14, 8, 16, 9, 18, 10, 19, 11, 19, 11, 19, 11, 18, 10, 17, 10, 15, 9, 13, 7, 11, 6, 8, 4, 5, 3, 2, 1, -1, -1,
-4, -2, -6, -4, -8, -5, -10, -6, -11, -7, -12, -7, -12, -8, -12, -8, -11, -7, -9, -7, -8, -6, -6, -5, -4, -4, -2, -3, 0, -1, 3, 0, 5, 1, 7, 3, 8, 4, 9, 5, 10, 5, 10, 6, 9, 6, 9, 6, 8, 6, 6, 5, 4, 5, 2, 4, 0, 3, -2, 2, -4, 0, -6, -1,
-8, -1, -9, -2, -10, -2, -10, -3, -10, -3, -9, -2, -8, -2, -7, -1, -5, 0, -3, 1, -1, 2, 1, 3, 3, 4, 5, 5, 7, 6, 9, 7, 11, 8, 12, 9, 12, 9, 12, 9, 12, 9, 12, 9, 11, 8, 9, 7, 8, 6, 6, 5, 3, 4, 1, 2, -1, 1, -3, 0, -4, -2, -5, -2,
-6, -3, -7, -4, -7, -4, -6, -4, -5, -4, -4, -3, -2, -2, 0, -1, 2, 0, 4, 1, 6, 2, 8, 3, 10, 4, 12, 5, 13, 6, 14, 6, 14, 7, 13, 7, 12, 6, 11, 6, 9, 5, 6, 4, 3, 3, 0, 1, -3, 0, -7, -2, -10, -4, -13, -5, -16, -7, -18, -8, -20, -9, -21, -9,
-22, -10, -23, -10, -22, -10, -21, -10, -20, -10, -18, -9, -15, -8, -13, -6, -10, -5, -7, -4, -4, -2, 0, 0, 3, 1, 5, 3, 8, 4, 10, 5, 11, 6, 12, 7, 13, 7, 13, 7, 13, 7, 12, 7, 11, 6, 10, 5, 8, 4, 7, 3, 6, 2, 4, 2, 4, 1, 3, 1, 3, 0, 3, 0,
3, 0, 4, 0, 5, 1, 6, 1, 8, 2, 10, 3, 11, 4, 13, 5, 14, 5, 16, 6, 18, 7, 19, 8, 20, 9, 20, 9, 20, 9, 19, 9, 18, 9, 16, 8, 15, 8, 12, 7, 10, 6, 7, 4, 5, 3, 2, 2, -1, 0, -3, -1, -5, -2, -7, -3, -8, -3, -9, -4, -9, -4, -9, -4,
-9, -4, -8, -3, -6, -2, -5, -1, -3, 0, -1, 1, 0, 3, 2, 4, 4, 5, 5, 6, 6, 7, 7, 7, 6, 7, 5, 7, 4, 6, 3, 5, 1, 4, -2, 3, -4, 2, -7, 0, -10, -1, -13, -3, -15, -5, -18, -6, -20, -8, -21, -9, -22, -10, -23, -10, -23, -11, -23, -11, -22, -11, -20, -10,
-17, -9, -15, -8, -12, -7, -8, -5, -5, -3, -2, -2, 2, 0, 6, 2, 9, 4, 12, 6, 14, 7, 15, 8, 16, 9, 17, 10, 17, 10, 16, 10, 15, 10, 13, 9, 11, 8, 9, 7, 7, 6, 4, 5, 2, 4, 0, 3, -2, 2, -4, 1, -5, 0, -6, 0, -7, -1, -7, -1, -7, -1, -7, -1,
-6, 0, -4, 0, -3, 1, -2, 1, -1, 2, 0, 3, 2, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 2, 4, 1, 3, -1, 3, -2, 2, -4, 1, -6, 0, -7, -1, -9, -2, -10, -3, -11, -4, -11, -5, -11, -5, -11, -5, -10, -5, -9, -5, -7, -4, -5, -3, -2, -2, 1, -1,
4, 1, 7, 2, 9, 4, 12, 5, 15, 6, 17, 8, 19, 9, 20, 10, 21, 10, 21, 10, 21, 10, 20, 10, 19, 9, 17, 9, 15, 8, 13, 7, 11, 5, 8, 4, 6, 3, 4, 2, 2, 1, 0, 0, -1, -1, -2, -2, -2, -2, -2, -2, -1, -2, 0, -2, 1, -1, 3, 0, 5, 1, 7, 2,
9, 4, 12, 5, 14, 6, 15, 7, 17, 8, 18, 9, 18, 9, 18, 9, 17, 9, 16, 9, 14, 8, 12, 7, 9, 6, 6, 4, 3, 2, -1, 0, -4, -1, -7, -3, -10, -5, -13, -7, -15, -8, -17, -9, -19, -10, -20, -11, -20, -11, -20, -11, -19, -11, -18, -11, -17, -10, -15, -9, -14, -9, -12, -8,
-10, -7, -8, -6, -6, -5, -4, -4, -3, -3, -2, -2, -1, -2, -1, -1, -1, -1, -1, -1, -2, -1, -3, -1, -4, -2, -5, -2, -6, -3, -8, -3, -9, -4, -9, -4, -10, -5, -10, -5, -10, -4, -9, -4, -8, -4, -6, -3, -4, -2, -2, 0, 1, 1, 4, 3, 6, 4, 9, 6, 11, 7, 14, 9,
16, 10, 18, 11, 19, 12, 20, 13, 20, 13, 20, 13, 19, 13, 18, 12, 16, 12, 14, 11, 11, 9, 8, 8, 5, 6, 2, 5, 0, 3, -3, 2, -5, 0, -7, -1, -9, -2, -10, -3, -11, -4, -11, -4, -11, -4, -10, -4, -8, -4, -7, -3, -5, -2, -3, -1, -1, 0, 1, 1, 4, 3, 6, 4,
8, 5, 9, 6, 10, 7, 10, 7, 10, 7, 10, 7, 9, 7, 8, 7, 6, 6, 4, 5, 2, 4, 0, 3, -3, 2, -5, 0, -6, 0, -8, -1, -9, -2, -9, -2, -10, -2, -10, -3, -9, -2, -8, -2, -6, -1, -5, -1, -3, 0, -1, 1, 1, 2, 3, 3, 6, 5, 8, 6, 10, 7, 11, 8,
12, 9, 13, 9, 13, 9, 13, 9, 12, 9, 11, 8, 9, 8, 7, 7, 5, 5, 3, 4, 1, 3, -1, 1, -3, 0, -5, -1, -6, -2, -7, -3, -7, -3, -7, -3, -7, -4, -6, -4, -5, -3, -3, -2, -2, -2, 0, -1, 2, 0, 4, 1, 5, 2, 7, 3, 8, 3, 10, 4, 10, 4, 10, 4,
9, 4, 8, 4, 6, 3, 4, 2, 2, 1, -1, 0, -4, -1, -7, -3, -10, -4, -13, -6, -16, -7, -18, -8, -20, -9, -22, -10, -22, -11, -23, -12, -23, -12, -22, -12, -21, -12, -19, -11, -16, -10, -14, -8, -11, -7, -7, -5, -4, -4, -1, -2, 3, 0, 6, 2, 9, 4, 12, 5, 13, 6, 15, 7,
16, 8, 16, 9, 16, 9, 16, 9, 15, 9, 14, 8, 13, 8, 12, 7, 10, 7, 9, 6, 8, 5, 7, 5, 6, 4, 6, 4, 5, 4, 5, 3, 6, 3, 7, 4, 8, 4, 9, 5, 11, 5, 12, 6, 13, 7, 15, 7, 16, 8, 18, 9, 19, 10, 19, 10, 19, 10, 19, 10, 18, 10, 17, 10,
15, 9, 13, 8, 11, 7, 9, 6, 6, 5, 3, 3, 1, 2, -2, 0, -4, -1, -6, -2, -7, -3, -9, -4, -9, -4, -10, -5, -10, -4, -9, -4, -8, -4, -7, -3, -5, -2, -3, -1, -2, 0, 0, 1, 1, 2, 3, 3, 4, 3, 4, 4, 5, 4, 4, 4, 3, 4, 2, 4, 1, 3, -1, 2,
-3, 1, -6, 0, -8, -1, -11, -3, -14, -4, -16, -6, -18, -7, -20, -8, -21, -9, -22, -10, -22, -10, -22, -11, -21, -11, -20, -10, -18, -10, -15, -8, -12, -7, -9, -5, -5, -4, -2, -2, 1, 0, 5, 1, 8, 3, 11, 5, 13, 6, 15, 7, 16, 8, 16, 9, 16, 9, 16, 9, 14, 9, 13, 8,
11, 7, 8, 6, 6, 5, 3, 4, 0, 2, -2, 1, -4, 0, -7, -2, -8, -3, -10, -4, -11, -5, -12, -5, -12, -6, -12, -6, -11, -6, -10, -5, -9, -5, -8, -5, -7, -4, -5, -3, -4, -3, -2, -2, -1, -1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, -1, 0, -2, 0, -3, -1,
-4, -1, -6, -2, -7, -3, -8, -3, -9, -4, -9, -4, -9, -4, -9, -4, -8, -4, -7, -4, -6, -3, -3, -2, -1, -1, 2, 1, 5, 2, 7, 4, 10, 5, 13, 7, 15, 9, 18, 10, 20, 11, 22, 13, 23, 13, 23, 14, 23, 14, 23, 14, 22, 14, 21, 14, 19, 13, 17, 12, 15, 11, 12, 10,
10, 8, 8, 7, 5, 6, 4, 4, 2, 3, 1, 3, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 4, 2, 5, 3, 7, 4, 9, 4, 11, 5, 13, 6, 14, 7, 16, 8, 17, 9, 17, 9, 17, 9, 16, 9, 15, 9, 14, 8, 11, 7, 9, 6, 6, 4, 3, 3, 0, 1, -4, -1, -7, -2,
-10, -4, -13, -6, -15, -7, -17, -8, -19, -9, -20, -10, -20, -10, -21, -11, -20, -11, -19, -11, -18, -10, -16, -9, -14, -8, -12, -7, -10, -6, -8, -5, -6, -4, -3, -2, -2, -1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 0, 2, -1, 2, -3, 1, -4, 1, -5, 0, -6, -1,
-7, -1, -8, -1, -8, -1, -7, -1, -7, -1, -6, -1, -4, -1, -3, 0, -1, 1, 2, 2, 4, 3, 6, 4, 8, 5, 10, 6, 12, 7, 14, 8, 15, 8, 16, 9, 16, 9, 16, 9, 15, 9, 14, 8, 12, 7, 10, 6, 8, 5, 5, 4, 3, 2, 0, 0, -3, -1, -6, -3, -8, -5, -10, -6,
-12, -7, -13, -8, -14, -9, -14, -10, -14, -10, -14, -10, -12, -9, -11, -8, -9, -7, -7, -6, -4, -5, -2, -3, 0, -2, 3, 0, 5, 1, 7, 3, 8, 4, 9, 5, 9, 5, 9, 6, 9, 6, 8, 6, 6, 6, 5, 5, 3, 5, 1, 4, 0, 3, -2, 3, -4, 2, -5, 1, -6, 1, -7, 1,
-7, 0, -7, 0, -7, 0, -6, 0, -5, 1, -3, 2, -1, 2, 1, 3, 3, 4, 5, 5, 7, 6, 9, 8, 11, 9, 13, 10, 14, 10, 15, 11, 15, 11, 14, 11, 14, 10, 12, 10, 11, 9, 9, 8, 7, 6, 5, 5, 2, 3, 0, 2, -2, 0, -4, -1, -5, -2, -6, -3, -7, -4, -7, -5,
-7, -5, -7, -5, -6, -5, -5, -5, -4, -4, -2, -4, 0, -3, 1, -2, 3, -2, 4, -1, 6, 0, 7, 1, 8, 1, 8, 2, 7, 2, 6, 2, 5, 1, 4, 1, 2, 1, -1, 0, -3, -1, -6, -2, -9, -3, -11, -4, -14, -6, -16, -7, -18, -8, -20, -9, -21, -9, -21, -10, -21, -10, -21, -10,
-19, -9, -18, -9, -15, -8, -12, -6, -9, -5, -6, -3, -3, -1, 0, 1, 4, 2, 7, 4, 10, 6, 12, 7, 14, 9, 16, 10, 17, 10, 17, 11, 17, 11, 17, 11, 17, 11, 16, 11, 14, 10, 13, 9, 11, 8, 9, 7, 8, 6, 6, 5, 5, 4, 4, 3, 4, 2, 3, 1, 3, 1, 3, 0,
4, 0, 5, 0, 6, 1, 8, 1, 9, 2, 10, 2, 12, 3, 13, 3, 14, 4, 15, 4, 15, 5, 15, 5, 14, 5, 13, 4, 12, 4, 10, 3, 8, 2, 6, 1, 4, 0, 1, -1, -1, -2, -3, -3, -6, -4, -7, -5, -9, -5, -10, -6, -10, -6, -11, -6, -11, -6, -10, -5, -9, -4, -8, -4,
-6, -2, -4, -1, -3, 0, -1, 1, 0, 2, 2, 3, 3, 4, 4, 5, 5, 6, 5, 7, 4, 7, 3, 7, 2, 7, 1, 6, -1, 6, -3, 5, -6, 4, -8, 3, -10, 1, -12, 0, -14, -1, -16, -2, -18, -4, -18, -4, -19, -5, -18, -6, -18, -6, -16, -6, -15, -5, -12, -5, -9, -4, -6, -2,
-3, -1, 0, 0, 3, 1, 6, 3, 9, 4, 11, 5, 14, 7, 15, 7, 16, 8, 17, 9, 16, 9, 16, 9, 15, 8, 13, 8, 11, 7, 9, 6, 6, 5, 3, 3, 1, 2, -2, 0, -5, -1, -7, -2, -9, -4, -10, -5, -12, -6, -13, -6, -13, -7, -13, -7, -12, -7, -11, -7, -10, -6, -9, -5,
-8, -5, -6, -4, -4, -3, -3, -2, -1, 0, 0, 1, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 1, 3, 0, 3, -1, 2, -3, 2, -4, 1, -5, 1, -6, 0, -7, 0, -7, -1, -7, -1, -7, -1, -6, 0, -5, 0, -4, 0, -2, 1, 0, 2, 2, 3, 5, 4, 7, 6, 10, 7, 12, 8,
15, 9, 17, 10, 19, 11, 21, 12, 22, 13, 22, 13, 22, 13, 22, 13, 21, 12, 20, 11, 18, 10, 16, 9, 13, 8, 11, 6, 8, 4, 6, 3, 3, 1, 2, -1, 0, -2, -1, -3, -2, -4, -3, -5, -3, -5, -2, -6, -1, -5, 0, -5, 2, -4, 3, -4, 5, -3, 7, -2, 8, -1, 10, 0,
11, 1, 12, 2, 13, 2, 13, 3, 12, 3, 11, 3, 9, 3, 7, 2, 5, 2, 3, 1, 0, 0, -3, -1, -6, -2, -9, -4, -12, -5, -14, -6, -16, -7, -18, -8, -19, -9, -20, -9, -21, -10, -21, -10, -20, -10, -19, -9, -18, -9, -16, -8, -14, -7, -11, -6, -9, -4, -7, -3, -4, -2, -2, 0,
0, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 3, 4, 2, 4, 1, 4, 0, 3, -1, 2, -3, 2, -4, 1, -4, 0, -5, 0, -5, -1, -5, -1, -5, -1, -4, -1, -3, -1, -1, -1, 0, 0, 2, 1, 4, 1, 6, 2, 8, 3, 10, 4, 12, 5, 13, 5, 15, 6, 16, 7,
16, 7, 16, 7, 15, 7, 14, 7, 12, 6, 10, 5, 7, 4, 5, 3, 2, 2, -1, 0, -3, -1, -6, -3, -8, -4, -10, -5, -12, -6, -13, -7, -14, -7, -14, -8, -14, -7, -13, -7, -12, -6, -10, -5, -8, -4, -6, -2, -3, -1, -1, 1, 1, 2, 4, 4, 6, 5, 8, 7, 9, 8, 10, 9,
10, 10, 10, 10, 10, 10, 9, 11, 8, 11, 7, 10, 5, 10, 4, 9, 2, 8, 0, 7, -1, 6, -3, 5, -4, 4, -5, 4, -5, 3, -5, 2, -5, 2, -5, 2, -4, 2, -2, 2, 0, 3, 2, 3, 3, 4, 5, 4, 7, 5, 9, 6, 11, 6, 12, 7, 13, 7, 13, 7, 13, 7, 12, 7,
11, 6, 10, 5, 8, 5, 7, 4, 4, 2, 2, 1, 0, 0, -2, -2, -4, -3, -6, -4, -8, -6, -9, -6, -10, -7, -10, -8, -10, -8, -10, -8, -9, -8, -8, -8, -6, -7, -5, -7, -3, -6, -2, -5, 0, -4, 1, -3, 3, -2, 4, -1, 5, 0, 5, 1, 5, 1, 4, 2, 3, 2, 2, 2,
0, 2, -2, 1, -4, 1, -6, 0, -9, -1, -11, -2, -14, -4, -16, -5, -17, -6, -19, -6, -19, -7, -20, -7, -19, -7, -19, -7, -17, -7, -16, -6, -13, -5, -10, -4, -7, -3, -4, -1, -1, 0, 2, 2, 5, 3, 8, 5, 11, 6, 13, 8, 15, 9, 17, 10, 18, 10, 18, 11, 18, 11, 18, 11,
17, 11, 16, 10, 15, 9, 13, 8, 12, 7, 10, 6, 8, 5, 7, 4, 5, 3, 4, 2, 4, 1, 3, 0, 3, 0, 3, -1, 4, -1, 5, 0, 7, 0, 8, 1, 9, 1, 10, 2, 12, 2, 13, 3, 14, 4, 14, 4, 15, 5, 14, 5, 14, 5, 13, 5, 11, 5, 10, 4, 8, 4, 6, 3,
4, 2, 1, 1, -1, 0, -3, -1, -5, -1, -7, -2, -8, -2, -9, -3, -9, -3, -9, -3, -9, -3, -9, -2, -8, -2, -6, -1, -5, 0, -3, 1, -1, 2, 0, 3, 2, 4, 3, 5, 4, 6, 5, 7, 6, 8, 6, 8, 5, 8, 4, 8, 3, 8, 2, 7, 0, 6, -2, 5, -5, 4, -7, 3,
-9, 1, -12, -1, -14, -2, -15, -3, -17, -5, -17, -6, -18, -7, -17, -7, -17, -8, -16, -8, -14, -8, -12, -8, -9, -7, -6, -6, -4, -5, -1, -4, 2, -3, 4, -2, 7, -1, 9, 0, 11, 2, 12, 2, 13, 3, 13, 4, 13, 4, 12, 4, 11, 4, 10, 3, 8, 3, 5, 2, 3, 1, 0, 0,
-3, -2, -5, -3, -7, -4, -10, -5, -11, -6, -13, -7, -14, -8, -15, -8, -15, -8, -15, -8, -14, -8, -13, -8, -11, -7, -10, -6, -8, -5, -7, -4, -5, -3, -4, -1, -2, 0, -1, 1, 0, 2, 1, 2, 1, 3, 1, 3, 0, 3, -1, 3, -1, 3, -2, 3, -3, 2, -4, 2, -5, 1, -6, 1,
-7, 0, -7, 0, -7, 0, -6, 0, -5, 0, -4, 0, -3, 1, -1, 2, 1, 2, 4, 3, 7, 5, 9, 6, 12, 7, 14, 8, 17, 10, 19, 11, 21, 12, 23, 13, 24, 13, 24, 14, 24, 14, 24, 13, 22, 13, 21, 12, 19, 11, 17, 10, 15, 9, 12, 7, 10, 6, 7, 4, 5, 3, 3, 1,
2, 0, 0, -1, 0, -2, -1, -2, -1, -2, 0, -3, 1, -2, 2, -2, 3, -1, 5, -1, 6, 0, 8, 1, 9, 2, 10, 3, 12, 4, 12, 5, 13, 5, 13, 6, 12, 6, 11, 6, 9, 6, 7, 6, 5, 5, 3, 5, 0, 4, -3, 3, -5, 2, -8, 1, -11, -1, -13, -2, -15, -3, -16, -4,
-18, -5, -18, -5, -19, -6, -18, -6, -18, -6, -17, -6, -15, -6, -13, -5, -11, -4, -9, -3, -7, -2, -4, -1, -2, 0, 0, 1, 2, 2, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 2, 3, 1, 2, -1, 2, -2, 1, -3, 0, -4, -1, -5, -2, -5, -2, -5, -3, -5, -3,
-5, -3, -4, -3, -3, -3, -2, -3, 0, -2, 2, -2, 4, -1, 5, 0, 7, 1, 9, 2, 10, 3, 12, 3, 13, 4, 13, 5, 13, 5, 13, 5, 11, 5, 10, 5, 8, 4, 6, 3, 3, 2, 1, 1, -2, 0, -5, -2, -7, -3, -10, -5, -12, -6, -14, -7, -15, -8, -16, -8, -17, -9, -17, -9,
-16, -9, -15, -8, -13, -7, -11, -6, -9, -5, -7, -4, -4, -2, -2, -1, 0, 0, 3, 2, 5, 3, 7, 5, 8, 6, 9, 7, 9, 8, 10, 8, 9, 9, 9, 9, 8, 9, 7, 9, 6, 8, 4, 8, 3, 7, 1, 6, 0, 5, -1, 5, -2, 4, -2, 3, -3, 3, -2, 2, -2, 2, -1, 2,
0, 2, 2, 3, 4, 3, 6, 4, 8, 5, 10, 5, 11, 6, 13, 7, 14, 7, 15, 8, 15, 8, 15, 8, 15, 8, 14, 8, 13, 7, 11, 7, 9, 6, 7, 5, 5, 4, 3, 3, 0, 1, -2, 0, -4, -1, -6, -2, -7, -3, -8, -4, -9, -5, -9, -5, -9, -6, -9, -6, -8, -6, -7, -6,
-6, -5, -4, -4, -2, -4, -1, -3, 1, -2, 2, -1, 3, 0, 4, 1, 5, 2, 5, 2, 5, 3, 4, 3, 3, 3, 1, 3, 0, 2, -2, 2, -5, 1, -7, 0, -9, -1, -12, -2, -14, -3, -15, -5, -17, -5, -18, -6, -18, -7, -18, -7, -17, -7, -16, -7, -15, -7, -13, -6, -10, -5, -7, -4,
-4, -2, -1, -1, 1, 0, 4, 2, 7, 3, 10, 4, 12, 6, 14, 7, 16, 8, 17, 9, 18, 10, 18, 10, 18, 10, 17, 10, 16, 9, 15, 9, 13, 8, 11, 7, 9, 6, 8, 5, 6, 3, 5, 2, 4, 1, 3, 1, 2, 0, 2, -1, 2, -1, 2, -1, 3, -1, 4, -1, 5, -1, 7, 0,
8, 0, 9, 1, 10, 1, 11, 2, 11, 2, 12, 3, 11, 3, 11, 3, 10, 3, 9, 3, 7, 2, 5, 2, 3, 1, 1, 0, -1, 0, -3, -1, -5, -2, -7, -3, -8, -3, -10, -4, -10, -4, -11, -5, -11, -5, -11, -5, -10, -4, -9, -4, -8, -3, -6, -2, -4, -1, -2, 0, 0, 1, 2, 2,
4, 4, 5, 5, 7, 6, 8, 7, 8, 8, 8, 9, 8, 9, 7, 9, 6, 9, 4, 9, 2, 8, 0, 7, -2, 6, -4, 5, -6, 4, -8, 2, -10, 1, -12, 0, -13, -1, -13, -2, -13, -2, -13, -3, -12, -3, -11, -3, -9, -3, -7, -3, -5, -2, -2, -2, 0, -1, 2, 0, 5, 1, 7, 2,
9, 3, 11, 4, 12, 5, 13, 6, 13, 6, 13, 6, 12, 6, 11, 6, 10, 6, 8, 5, 6, 5, 3, 4, 1, 2, -2, 1, -4, 0, -6, -1, -8, -2, -10, -3, -11, -4, -13, -5, -13, -6, -13, -6, -13, -6, -13, -6, -12, -6, -10, -5, -9, -4, -8, -3, -6, -3, -5, -2, -3, -1, -2, 0,
-1, 1, 0, 2, 1, 2, 1, 3, 1, 3, 0, 3, 0, 3, -1, 3, -2, 3, -3, 2, -4, 2, -5, 2, -6, 1, -6, 1, -6, 0, -6, 0, -6, 0, -5, 0, -4, 0, -3, 1, -1, 1, 1, 2, 4, 3, 6, 4, 9, 6, 12, 7, 15, 8, 17, 10, 20, 11, 22, 12, 23, 13, 24, 13,
25, 14, 25, 14, 24, 14, 23, 13, 21, 12, 19, 11, 17, 10, 15, 9, 12, 7, 9, 6, 7, 4, 4, 2, 2, 1, 0, -1, -1, -2, -2, -3, -3, -4, -3, -5, -3, -5, -3, -6, -2, -6, -1, -6, 1, -5, 2, -5, 3, -4, 5, -3, 6, -3, 7, -2, 8, -1, 9, 0, 9, 0, 8, 1,
8, 1, 7, 1, 5, 2, 3, 1, 1, 1, -1, 1, -3, 0, -6, -1, -8, -2, -10, -3, -12, -4, -14, -5, -16, -5, -17, -6, -17, -6, -17, -7, -17, -7, -16, -7, -15, -6, -13, -6, -11, -5, -9, -4, -7, -3, -5, -2, -3, -1, -1, 0, 1, 1, 3, 2, 4, 3, 5, 4, 5, 5, 6, 5,
5, 5, 5, 5, 4, 5, 3, 5, 2, 4, 1, 4, 0, 3, -1, 2, -2, 2, -3, 1, -4, 0, -4, 0, -4, -1, -4, -1, -3, -1, -2, -1, -1, -1, 0, -1, 2, 0, 4, 1, 6, 2, 8, 2, 9, 3, 11, 4, 12, 5, 13, 5, 13, 6, 13, 6, 13, 6, 12, 6, 10, 6, 8, 5,
6, 4, 4, 3, 1, 2, -2, 1, -4, -1, -7, -2, -9, -3, -12, -5, -13, -6, -15, -7, -16, -7, -16, -8, -16, -8, -16, -8, -15, -8, -13, -7, -11, -6, -9, -5, -7, -4, -4, -3, -2, -1, 0, 0, 3, 2, 5, 3, 7, 5, 8, 6, 10, 8, 11, 9, 11, 10, 11, 10, 11, 11, 10, 11,
9, 11, 8, 11, 7, 11, 5, 10, 4, 10, 3, 9, 2, 8, 1, 7, 1, 7, 0, 6, 1, 6, 1, 6, 2, 6, 3, 6, 4, 6, 6, 6, 8, 6, 9, 7, 11, 7, 12, 8, 13, 8, 14, 8, 15, 9, 16, 9, 16, 9, 15, 9, 14, 8, 13, 7, 11, 7, 9, 6, 7, 5, 4, 3,
2, 2, -1, 1, -3, -1, -5, -2, -8, -4, -9, -5, -11, -6, -12, -7, -12, -8, -12, -9, -12, -9, -12, -9, -11, -9, -10, -9, -8, -8, -6, -8, -5, -7, -3, -6, -1, -5, 0, -4, 1, -3, 2, -2, 3, -1, 3, 0, 3, 0, 2, 1, 1, 1, -1, 1, -2, 0, -4, 0, -6, -1, -8, -1,
-10, -2, -12, -3, -13, -3, -14, -4, -15, -5, -16, -5, -15, -5, -15, -5, -14, -5, -13, -4, -11, -4, -9, -3, -7, -2, -4, -1, -1, 1, 2, 2, 4, 3, 7, 5, 10, 6, 12, 7, 14, 9, 16, 10, 17, 11, 17, 12, 18, 12, 17, 12, 17, 12, 16, 12, 15, 11, 13, 10, 12, 9, 10, 8,
8, 7, 7, 5, 5, 4, 4, 3, 4, 2, 3, 1, 3, 0, 3, 0, 3, 0, 4, -1, 5, 0, 6, 0, 7, 0, 8, 1, 9, 1, 9, 1, 10, 2, 10, 2, 11, 2, 10, 2, 10, 2, 9, 2, 8, 2, 6, 1, 4, 1, 2, 0, 0, -1, -2, -1, -4, -2, -6, -2, -8, -3, -9, -4,
-11, -4, -12, -4, -12, -4, -12, -4, -11, -4, -11, -4, -9, -3, -8, -3, -6, -2, -4, 0, -1, 1, 1, 3, 4, 4, 6, 6, 8, 7, 10, 9, 11, 11, 12, 12, 13, 13, 13, 14, 12, 15, 11, 15, 10, 15, 8, 15, 6, 14, 4, 13, 1, 12, -1, 10, -3, 9, -5, 7, -7, 6, -9, 4,
-10, 2, -11, 1, -11, 0, -11, -1, -11, -2, -10, -3, -9, -3, -7, -4, -6, -4, -3, -3, -1, -3, 1, -3, 2, -2, 4, -2, 6, -1, 7, -1, 8, -1, 9, 0, 9, 0, 9, 0, 8, -1, 7, -1, 5, -2, 4, -2, 2, -3, 0, -4, -2, -5, -5, -6, -7, -7, -9, -8, -10, -9, -12, -9,
-12, -10, -13, -10, -13, -10, -13, -9, -13, -9, -12, -8, -11, -8, -9, -6, -8, -5, -7, -4, -5, -3, -4, -2, -3, 0, -2, 1, -1, 2, -1, 3, -1, 4, -1, 5, -1, 5, -2, 5, -2, 6, -3, 6, -4, 5, -5, 5, -5, 5, -6, 5, -6, 4, -7, 4, -7, 4, -6, 3, -5, 3, -4, 4,
-2, 4, 0, 4, 2, 5, 4, 6, 7, 7, 10, 8, 13, 9, 16, 10, 19, 11, 21, 12, 23, 13, 25, 14, 26, 15, 26, 15, 26, 16, 26, 16, 24, 15, 23, 15, 21, 14, 18, 13, 16, 12, 13, 10, 10, 9, 8, 7, 5, 6, 2, 4, 0, 2, -2, 1, -4, -1, -4, -2, -5, -3, -5, -4,
-5, -4, -5, -4, -4, -5, -2, -4, -1, -4, 1, -3, 2, -2, 4, -1, 5, 0, 7, 2, 8, 3, 9, 4, 9, 6, 9, 7, 9, 8, 8, 8, 7, 9, 6, 9, 4, 9, 2, 8, 0, 8, -2, 7, -4, 6, -6, 5, -7, 5, -9, 4, -10, 3, -11, 3, -11, 2, -11, 2, -10, 2, -10, 2,
-8, 2, -7, 2, -5, 3, -4, 3, -2, 4, 0, 4, 1, 5, 2, 5, 4, 6, 5, 6, 6, 6, 6, 7, 6, 7, 6, 6, 5, 6, 4, 6, 3, 5, 2, 4, 1, 4, -1, 3, -2, 2, -3, 1, -4, 0, -5, -1, -6, -2, -6, -3, -5, -3, -5, -4, -4, -4, -3, -4, -2, -4, 0, -4,
2, -4, 4, -3, 5, -2, 7, -2, 8, -1, 9, 0, 10, 1, 10, 1, 10, 2, 10, 2, 9, 2, 7, 2, 6, 2, 3, 1, 1, 1, -2, 0, -4, -1, -7, -2, -10, -3, -12, -5, -15, -6, -17, -7, -19, -7, -20, -8, -20, -8, -20, -9, -19, -9, -19, -8, -17, -8, -16, -7, -14, -6, -11, -5,
-9, -3, -6, -2, -3, 0, -1, 1, 2, 3, 4, 5, 7, 6, 9, 8, 10, 9, 11, 11, 12, 12, 12, 12, 12, 13, 11, 13, 11, 13, 10, 13, 9, 13, 8, 12, 7, 12, 6, 11, 5, 11, 5, 10, 4, 10, 4, 9, 5, 9, 5, 8, 6, 8, 7, 8, 8, 8, 9, 8, 10, 8, 12, 9,
13, 9, 14, 10, 15, 10, 15, 10, 16, 11, 16, 11, 15, 11, 14, 11, 13, 10, 12, 10, 10, 9, 8, 8, 5, 7, 3, 6, 0, 5, -2, 3, -4, 2, -6, 1, -8, -1, -10, -2, -11, -3, -11, -4, -11, -5, -11, -5, -10, -5, -9, -6, -8, -5, -6, -5, -4, -5, -2, -4, 0, -3, 2, -2,
4, -1, 5, -1, 6, 0, 7, 1, 7, 2, 7, 2, 7, 3, 6, 3, 4, 3, 3, 3, 1, 3, -1, 2, -4, 2, -6, 2, -8, 1, -10, 0, -12, 0, -13, -1, -14, -2, -15, -2, -15, -2, -14, -3, -13, -3, -12, -3, -11, -2, -9, -2, -7, -1, -4, 0, -2, 2, 1, 3, 4, 4, 6, 5,
8, 7, 11, 8, 13, 9, 14, 10, 15, 11, 16, 11, 16, 12, 15, 12, 15, 11, 14, 10, 13, 10, 12, 8, 10, 7, 9, 6, 7, 5, 6, 3, 5, 2, 4, 1, 3, 0, 3, -1, 2, -2, 2, -2, 2, -3, 2, -3, 3, -3, 3, -3, 4, -3, 4, -3, 5, -3, 5, -2, 5, -2, 5, -2,
5, -2, 4, -1, 4, -1, 3, -1, 1, -1, 0, -1, -2, -1, -3, -1, -5, -1, -7, -1, -9, -1, -10, -2, -11, -2, -12, -2, -13, -2, -13, -2, -13, -2, -12, -2, -11, -1, -9, -1, -7, 0, -5, 1, -3, 2, 0, 3, 3, 5, 6, 7, 9, 8, 11, 10, 13, 11, 15, 13, 16, 14, 17, 15,
18, 16, 17, 17, 17, 17, 15, 17, 14, 17, 11, 16, 9, 15, 7, 14, 4, 13, 1, 12, -1, 10, -4, 9, -6, 7, -8, 6, -10, 4, -11, 3, -11, 1, -11, 0, -11, -1, -10, -2, -9, -2, -7, -3, -5, -3, -3, -3, -1, -2, 1, -2, 3, -2, 5, -1, 7, -1, 8, -1, 9, 0, 10, 0,
10, 1, 10, 1, 9, 1, 8, 0, 7, 0, 5, 0, 3, -1, 2, -2, 0, -2, -2, -3, -4, -4, -6, -5, -8, -5, -9, -6, -10, -6, -10, -6, -10, -7, -10, -7, -10, -6, -10, -6, -9, -5, -8, -4, -7, -3, -6, -2, -5, -1, -4, 0, -4, 2, -3, 3, -2, 4, -2, 5, -2, 6, -2, 7,
-3, 7, -3, 8, -4, 8, -5, 8, -5, 8, -6, 8, -6, 8, -7, 7, -7, 7, -7, 7, -6, 6, -5, 6, -4, 6, -2, 7, -1, 7, 2, 7, 4, 7, 6, 8, 9, 9, 12, 9, 15, 10, 17, 11, 20, 11, 22, 12, 23, 12, 24, 13, 25, 13, 25, 13, 24, 13, 23, 12, 22, 11, 20, 10,
18, 9, 15, 8, 12, 7, 9, 5, 6, 4, 3, 2, 0, 1, -3, -1, -5, -2, -7, -4, -9, -5, -10, -6, -10, -7, -10, -7, -10, -8, -9, -8, -8, -8, -7, -8, -5, -7, -3, -6, -1, -5, 1, -4, 3, -2, 4, -1, 6, 0, 7, 2, 8, 3, 9, 4, 8, 5, 8, 6, 7, 6, 6, 6,
5, 6, 3, 6, 2, 6, 0, 5, -2, 5, -4, 4, -5, 4, -7, 3, -8, 2, -8, 2, -8, 1, -8, 1, -8, 1, -7, 0, -6, 0, -5, 0, -3, 0, -2, 1, 0, 1, 1, 2, 3, 2, 4, 2, 5, 3, 6, 3, 7, 3, 7, 3, 7, 4, 7, 3, 6, 3, 6, 3, 5, 3, 3, 2,
2, 1, 1, 1, -1, 0, -2, -1, -3, -2, -4, -3, -4, -4, -4, -5, -4, -5, -3, -6, -2, -6, -1, -6, 0, -6, 2, -6, 3, -5, 5, -5, 6, -4, 8, -3, 9, -2, 10, -1, 10, 0, 10, 1, 10, 1, 9, 2, 8, 2, 7, 3, 5, 3, 3, 3, 0, 2, -2, 2, -5, 2, -7, 1,
-10, 0, -12, 0, -14, -1, -16, -2, -18, -2, -19, -3, -19, -3, -19, -3, -18, -3, -17, -3, -16, -2, -14, -2, -12, -1, -10, 0, -7, 2, -5, 3, -2, 5, 0, 6, 3, 7, 5, 9, 7, 10, 9, 11, 10, 13, 11, 14, 12, 14, 12, 15, 12, 15, 11, 15, 10, 15, 10, 14, 9, 14, 8, 13,
7, 13, 6, 12, 5, 11, 4, 11, 4, 10, 4, 9, 4, 9, 5, 8, 5, 7, 6, 7, 7, 7, 8, 6, 9, 7, 11, 7, 12, 7, 13, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 13, 7, 12, 7, 11, 7, 9, 6, 6, 5, 4, 5, 2, 4, -1, 3, -3, 1, -6, 0, -8, -1,
-10, -2, -11, -3, -12, -4, -13, -5, -13, -6, -13, -6, -12, -7, -11, -7, -10, -7, -8, -7, -6, -6, -4, -6, -2, -5, 0, -4, 2, -3, 3, -2, 5, -2, 6, -1, 6, 0, 7, 0, 6, 1, 6, 1, 5, 1, 3, 1, 2, 1, 0, 1, -2, 1, -4, 0, -6, 0, -7, -1, -9, -2, -10, -2,
-11, -3, -12, -4, -12, -4, -12, -4, -11, -5, -10, -5, -9, -4, -7, -4, -5, -3, -3, -2, -1, -1, 2, 0, 4, 1, 6, 2, 8, 3, 10, 4, 11, 5, 13, 6, 13, 7, 14, 8, 14, 8, 13, 8, 12, 8, 11, 8, 10, 8, 9, 7, 8, 6, 7, 5, 5, 4, 4, 3, 3, 2, 2, 2,
1, 1, 1, 0, 1, 0, 1, -1, 1, -1, 2, -1, 2, -1, 3, -1, 3, -1, 4, 0, 4, 0, 5, 1, 5, 1, 5, 1, 5, 2, 5, 2, 4, 3, 3, 3, 2, 3, 0, 3, -1, 3, -3, 3, -5, 3, -6, 2, -8, 2, -10, 2, -11, 1, -12, 1, -12, 0, -13, 0, -12, 0, -12, 0,
-10, 1, -9, 1, -7, 2, -5, 2, -2, 3, 0, 4, 3, 5, 6, 7, 9, 8, 12, 9, 14, 10, 16, 12, 18, 13, 19, 14, 19, 15, 20, 15, 19, 16, 18, 16, 17, 15, 15, 15, 13, 14, 10, 14, 7, 13, 5, 11, 2, 10, -1, 9, -3, 7, -5, 6, -7, 4, -8, 3, -9, 1, -10, 0,
-10, -1, -9, -2, -9, -3, -7, -4, -6, -4, -4, -4, -3, -4, -1, -4, 1, -4, 2, -4, 4, -4, 5, -4, 6, -3, 7, -3, 7, -3, 7, -3, 6, -3, 5, -4, 4, -4, 2, -5, 1, -5, -1, -6, -3, -6, -4, -7, -6, -8, -8, -8, -9, -9, -10, -9, -11, -10, -11, -10, -11, -10, -11, -10,
-10, -10, -10, -10, -9, -9, -8, -8, -7, -7, -6, -6, -5, -5, -4, -4, -3, -3, -2, -2, -2, -1, -1, 1, -1, 2, -1, 2, -2, 3, -3, 4, -3, 4, -4, 5, -5, 5, -6, 5, -6, 5, -7, 5, -7, 5, -7, 4, -7, 4, -6, 4, -5, 4, -4, 4, -2, 4, 0, 5, 2, 5, 5, 6,
7, 6, 10, 7, 13, 8, 15, 8, 18, 9, 20, 10, 21, 11, 23, 11, 23, 12, 24, 12, 24, 12, 23, 12, 22, 12, 20, 12, 18, 11, 16, 10, 13, 9, 10, 8, 7, 7, 5, 6, 2, 5, -1, 3, -3, 2, -5, 1, -7, -1, -8, -2, -9, -2, -9, -3, -9, -3, -8, -4, -8, -4, -6, -4,
-5, -3, -3, -2, -1, -2, 1, -1, 3, 0, 4, 1, 6, 2, 7, 3, 8, 4, 9, 5, 9, 6, 9, 7, 8, 8, 8, 8, 6, 8, 5, 8, 4, 8, 2, 8, 1, 7, -1, 7, -2, 6, -4, 6, -5, 5, -5, 5, -5, 4, -5, 4, -5, 3, -4, 3, -4, 3, -3, 3, -1, 3, 0, 3,
2, 3, 3, 4, 5, 4, 6, 5, 7, 5, 8, 5, 8, 5, 9, 5, 9, 5, 8, 5, 7, 5, 6, 4, 5, 4, 3, 3, 2, 2, 0, 1, -1, 0, -3, -1, -4, -2, -5, -4, -6, -5, -6, -6, -6, -7, -6, -7, -5, -8, -4, -9, -3, -9, -2, -9, -1, -9, 0, -9, 2, -8, 3, -8,
4, -7, 5, -7, 6, -6, 6, -5, 6, -5, 6, -4, 5, -4, 4, -3, 2, -3, 1, -3, -2, -3, -4, -3, -6, -3, -9, -3, -11, -3, -13, -4, -15, -4, -17, -5, -18, -5, -19, -6, -20, -6, -20, -6, -19, -6, -18, -6, -17, -6, -16, -5, -14, -5, -11, -4, -9, -3, -6, -1, -4, 0, -1, 2,
1, 3, 4, 4, 6, 5, 8, 7, 9, 8, 10, 9, 11, 10, 11, 11, 11, 11, 11, 12, 10, 12, 10, 12, 9, 12, 8, 11, 7, 11, 7, 10, 6, 10, 5, 9, 5, 9, 5, 8, 5, 8, 5, 8, 6, 7, 7, 7, 8, 7, 9, 6, 10, 6, 11, 7, 13, 7, 14, 7, 15, 7, 15, 7,
16, 8, 16, 8, 16, 8, 15, 8, 14, 8, 13, 7, 11, 7, 9, 7, 7, 6, 4, 5, 2, 4, -1, 3, -3, 2, -5, 1, -7, 0, -9, -1, -10, -2, -11, -3, -12, -4, -12, -4, -11, -5, -10, -5, -9, -5, -8, -5, -6, -5, -4, -4, -2, -4, 0, -3, 2, -2, 3, -2, 5, -1, 6, 0,
7, 1, 7, 2, 8, 2, 7, 3, 7, 3, 6, 3, 4, 3, 3, 3, 1, 3, 0, 3, -2, 3, -4, 2, -6, 1, -7, 1, -8, 0, -9, -1, -10, -1, -10, -2, -9, -2, -8, -2, -7, -3, -6, -3, -5, -2, -3, -2, -1, -1, 1, -1, 3, 0, 5, 1, 7, 1, 8, 2, 9, 3, 10, 3,
11, 4, 11, 5, 11, 5, 11, 5, 10, 5, 9, 5, 8, 4, 6, 4, 5, 3, 4, 2, 2, 1, 1, 0, 0, -1, -1, -2, -2, -2, -3, -3, -3, -4, -3, -5, -2, -5, -2, -6, -2, -6, -1, -6, 0, -6, 1, -5, 1, -5, 2, -4, 3, -4, 3, -3, 3, -2, 3, -2, 2, -1, 2, -1,
1, 0, 0, 0, -2, 0, -3, 0, -5, 0, -6, 0, -8, 0, -10, -1, -11, -1, -12, -1, -12, -2, -13, -2, -13, -2, -12, -2, -11, -2, -10, -1, -8, -1, -6, 0, -3, 1, -1, 1, 2, 2, 5, 3, 8, 5, 10, 6, 13, 7, 15, 8, 17, 10, 19, 11, 20, 12, 21, 13, 21, 13, 20, 14,
19, 14, 18, 14, 16, 14, 14, 13, 12, 13, 9, 12, 7, 11, 4, 10, 2, 9, -1, 8, -3, 6, -4, 5, -6, 4, -6, 2, -7, 1, -7, 0, -6, -1, -6, -1, -5, -2, -4, -2, -2, -2, -1, -2, 1, -2, 2, -2, 4, -2, 5, -2, 6, -2, 6, -2, 7, -2, 6, -2, 6, -1, 5, -2,
4, -2, 3, -2, 1, -3, 0, -3, -2, -4, -4, -4, -5, -5, -7, -5, -8, -6, -9, -6, -10, -7, -10, -7, -10, -7, -10, -8, -10, -8, -9, -7, -9, -7, -8, -7, -7, -6, -5, -5, -4, -4, -3, -3, -2, -2, -1, 0, -1, 1, 0, 2, 0, 3, 0, 4, 0, 5, -1, 5, -2, 6, -2, 6,
-3, 6, -4, 7, -5, 7, -6, 7, -6, 6, -7, 6, -7, 6, -6, 5, -6, 5, -5, 5, -4, 5, -2, 5, 0, 5, 2, 5, 4, 5, 6, 5, 8, 5, 11, 6, 13, 6, 15, 7, 17, 7, 18, 8, 19, 8, 20, 8, 20, 9, 20, 9, 19, 9, 18, 8, 16, 8, 14, 7, 12, 6, 9, 5,
7, 4, 4, 3, 1, 2, -1, 1, -4, 0, -6, -1, -8, -3, -9, -4, -10, -5, -11, -6, -11, -6, -10, -7, -10, -7, -9, -7, -8, -7, -6, -6, -4, -6, -2, -5, 0, -4, 2, -4, 3, -3, 5, -2, 6, -1, 7, 0, 8, 1, 8, 1, 8, 2, 7, 3, 7, 3, 6, 3, 5, 4, 3, 4,
2, 4, 1, 3, 0, 3, -2, 3, -3, 3, -3, 2, -4, 2, -4, 2, -4, 1, -3, 1, -2, 1, -1, 1, 0, 1, 1, 1, 3, 2, 4, 2, 6, 3, 8, 3, 9, 4, 10, 4, 10, 5, 11, 5, 11, 5, 11, 5, 10, 5, 9, 5, 8, 5, 7, 4, 5, 4, 3, 3, 2, 2, 0, 1,
-1, 0, -2, -1, -3, -3, -4, -4, -5, -5, -5, -6, -5, -7, -5, -7, -4, -8, -3, -8, -2, -9, -1, -9, 0, -9, 1, -9, 3, -8, 4, -8, 4, -7, 5, -7, 5, -6, 5, -5, 5, -4, 4, -4, 3, -3, 2, -3, 0, -2, -2, -2, -4, -2, -6, -2, -9, -2, -11, -2, -13, -2, -14, -2,
-16, -3, -17, -3, -18, -3, -18, -3, -18, -3, -17, -3, -16, -3, -15, -3, -13, -2, -12, -1, -9, -1, -7, 0, -5, 2, -2, 3, 1, 4, 3, 5, 5, 6, 7, 7, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 12, 13, 11, 13, 11, 13, 10, 13, 9, 13, 8, 13, 7, 12, 6, 12, 6, 11,
5, 10, 4, 10, 4, 9, 4, 8, 4, 8, 5, 7, 6, 7, 6, 6, 7, 6, 8, 6, 10, 6, 11, 6, 12, 6, 13, 6, 13, 6, 14, 5, 14, 5, 14, 5, 13, 5, 12, 5, 11, 4, 9, 4, 7, 3, 5, 2, 2, 2, 0, 1, -2, 0, -5, -1, -7, -2, -8, -3, -10, -4, -11, -5,
-12, -6, -13, -7, -13, -7, -12, -8, -11, -8, -10, -8, -9, -8, -7, -8, -5, -8, -3, -7, -1, -6, 1, -6, 2, -5, 4, -4, 5, -3, 6, -2, 7, -1, 7, 0, 7, 1, 7, 2, 6, 2, 5, 3, 3, 3, 2, 3, 0, 3, -1, 3, -3, 3, -4, 2, -5, 2, -6, 1, -7, 0, -8, 0,
-7, -1, -7, -1, -6, -1, -5, -1, -4, -1, -3, -1, -1, -1, 1, -1, 2, -1, 4, 0, 6, 1, 8, 1, 9, 2, 10, 2, 11, 3, 11, 3, 11, 4, 11, 4, 11, 4, 10, 4, 9, 4, 7, 3, 6, 3, 4, 2, 3, 2, 1, 1, 0, 0, -1, -1, -2, -2, -3, -3, -4, -3, -4, -4,
-4, -5, -4, -5, -4, -5, -3, -6, -2, -6, -2, -5, -1, -5, 0, -4, 1, -4, 1, -3, 2, -2, 2, -2, 2, -1, 2, 0, 2, 0, 1, 1, 0, 1, -1, 2, -2, 2, -4, 2, -5, 2, -7, 2, -8, 2, -9, 2, -10, 2, -10, 2, -10, 2, -10, 2, -10, 2, -9, 2, -8, 3, -6, 3,
-4, 3, -2, 4, 1, 5, 3, 5, 6, 6, 8, 7, 11, 8, 13, 9, 16, 10, 18, 11, 19, 12, 20, 12, 21, 13, 21, 13, 21, 14, 20, 14, 18, 14, 16, 13, 14, 13, 12, 12, 9, 11, 7, 10, 4, 9, 2, 8, 0, 7, -3, 5, -4, 4, -6, 2, -6, 1, -7, -1, -7, -2, -7, -3,
-6, -4, -6, -5, -5, -5, -3, -6, -2, -6, -1, -7, 1, -7, 2, -7, 3, -7, 3, -7, 4, -7, 4, -7, 4, -6, 4, -6, 3, -6, 2, -6, 1, -6, -1, -7, -2, -7, -4, -7, -5, -7, -7, -8, -8, -8, -9, -8, -10, -9, -11, -9, -12, -9, -12, -10, -11, -10, -11, -10, -10, -9, -9, -9,
-8, -8, -7, -8, -6, -7, -5, -6, -3, -4, -2, -3, -1, -2, 0, -1, 1, 0, 1, 1, 1, 2, 1, 4, 1, 4, 0, 5, 0, 6, -1, 6, -2, 7, -3, 7, -3, 7, -4, 7, -4, 6, -4, 6, -4, 6, -4, 5, -3, 5, -2, 5, -1, 5, 1, 4, 2, 4, 4, 4, 6, 4, 8, 4,
10, 4, 12, 5, 14, 5, 16, 6, 17, 6, 18, 6, 19, 6, 19, 7, 19, 7, 18, 7, 17, 7, 15, 7, 14, 6, 11, 6, 9, 5, 6, 5, 4, 4, 1, 3, -1, 2, -4, 1, -6, 0, -7, 0, -9, -1, -10, -2, -10, -3, -10, -3, -10, -3, -9, -3, -8, -3, -7, -3, -5, -3, -4, -2,
-2, -2, 0, -1, 2, 0, 4, 0, 6, 1, 7, 2, 8, 3, 9, 4, 9, 5, 9, 6, 9, 7, 9, 7, 8, 8, 7, 8, 6, 8, 5, 8, 3, 8, 2, 8, 1, 7, 0, 7, -1, 7, -2, 6, -2, 6, -2, 5, -1, 5, -1, 5, 0, 4, 1, 4, 2, 4, 3, 4, 5, 4, 6, 4,
7, 4, 8, 5, 9, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 9, 4, 7, 4, 6, 3, 4, 3, 3, 2, 1, 1, -1, 0, -2, -1, -3, -3, -5, -4, -6, -5, -7, -7, -7, -8, -7, -9, -7, -10, -7, -11, -6, -11, -6, -12, -5, -12, -4, -13, -3, -13, -2, -12, -1, -12, 0, -11,
1, -11, 1, -10, 1, -9, 1, -8, 1, -8, 0, -7, -1, -6, -2, -5, -4, -5, -5, -4, -7, -4, -9, -4, -11, -3, -13, -3, -14, -3, -15, -3, -17, -3, -17, -4, -18, -4, -18, -4, -17, -3, -16, -3, -14, -3, -13, -2, -11, -2, -9, -1, -7, 0, -4, 1, -2, 2, 1, 3, 3, 4, 6, 5,
8, 6, 9, 7, 10, 8, 12, 9, 12, 10, 13, 10, 13, 11, 13, 11, 12, 11, 11, 11, 10, 11, 9, 11, 8, 11, 7, 11, 6, 10, 5, 10, 4, 9, 4, 8, 4, 8, 4, 7, 4, 6, 5, 6, 5, 6, 6, 5, 7, 5, 8, 5, 9, 4, 10, 4, 11, 4, 12, 4, 13, 4, 13, 4,
13, 4, 12, 4, 12, 4, 11, 4, 9, 4, 7, 4, 6, 3, 4, 3, 1, 2, -1, 2, -3, 1, -4, 0, -6, -1, -8, -1, -9, -2, -10, -3, -10, -3, -10, -4, -10, -4, -9, -4, -8, -5, -7, -5, -6, -5, -4, -5, -2, -4, 0, -4, 1, -3, 3, -2, 5, -1, 6, 0, 7, 1, 8, 2,
8, 2, 9, 3, 8, 4, 8, 5, 7, 5, 5, 5, 4, 6, 3, 6, 1, 6, -1, 5, -2, 5, -3, 4, -4, 4, -5, 3, -6, 2, -6, 2, -6, 1, -6, 0, -5, 0, -4, -1, -3, -1, -2, -1, -1, -2, 1, -2, 3, -2, 4, -1, 6, -1, 7, -1, 8, -1, 9, 0, 9, 0, 9, 0,
9, 0, 9, 0, 8, 0, 7, 0, 6, 0, 4, 0, 3, -1, 1, -1, 0, -2, -2, -3, -3, -3, -4, -4, -5, -5, -6, -5, -7, -6, -7, -7, -7, -7, -7, -7, -6, -7, -6, -8, -5, -7, -4, -7, -3, -7, -2, -6, -1, -5, 0, -5, 0, -4, 1, -3, 1, -3, 1, -2, 1, -1, 0, -1,
-1, 0, -2, 1, -3, 1, -4, 1, -5, 2, -6, 2, -7, 2, -7, 2, -8, 2, -8, 2, -8, 3, -8, 3, -7, 3, -7, 3, -5, 3, -3, 4, -1, 4, 1, 4, 3, 5, 5, 5, 8, 6, 10, 7, 13, 8, 15, 8, 17, 9, 19, 10, 20, 11, 21, 11, 21, 12, 21, 12, 20, 12, 19, 12,
17, 12, 15, 12, 13, 12, 10, 11, 8, 10, 6, 10, 3, 9, 1, 7, -1, 6, -3, 5, -4, 4, -5, 2, -6, 1, -6, 0, -6, -1, -6, -2, -6, -3, -5, -4, -4, -4, -3, -5, -1, -5, 0, -5, 1, -5, 3, -5, 3, -5, 4, -5, 4, -5, 5, -5, 4, -4, 4, -4, 3, -4, 2, -3,
1, -3, 0, -3, -2, -3, -3, -3, -5, -3, -6, -4, -7, -4, -9, -4, -10, -4, -10, -5, -11, -5, -11, -5, -10, -5, -10, -5, -9, -5, -8, -4, -8, -4, -6, -3, -5, -3, -4, -2, -3, -1, -1, 0, 0, 1, 0, 2, 1, 3, 1, 4, 2, 4, 2, 5, 1, 6, 1, 7, 0, 7, -1, 7,
-1, 7, -2, 7, -2, 7, -3, 7, -3, 7, -3, 6, -3, 6, -3, 5, -3, 5, -2, 4, -1, 4, 0, 3, 2, 3, 3, 3, 5, 2, 7, 2, 8, 2, 10, 2, 12, 2, 13, 2, 14, 2, 15, 3, 15, 3, 15, 3, 15, 3, 14, 3, 13, 3, 11, 3, 9, 2, 7, 2, 5, 2, 2, 1,
0, 1, -2, 0, -4, -1, -6, -1, -8, -2, -10, -3, -11, -3, -11, -4, -12, -4, -11, -4, -11, -4, -10, -4, -8, -4, -7, -4, -5, -4, -3, -4, -1, -3, 1, -3, 3, -2, 5, -1, 6, 0, 8, 0, 9, 1, 9, 2, 10, 3, 10, 4, 10, 5, 10, 5, 9, 6, 8, 6, 7, 6, 5, 7,
4, 7, 3, 7, 2, 6, 1, 6, 0, 6, -1, 5, -1, 5, -1, 4, -1, 4, 0, 4, 1, 3, 2, 3, 3, 3, 4, 3, 5, 3, 6, 3, 7, 3, 9, 3, 9, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 9, 3, 8, 2, 6, 2, 5, 2, 4, 1, 2, 0, 1, -1, -1, -2,
-2, -3, -3, -4, -5, -4, -5, -5, -6, -6, -6, -7, -6, -8, -6, -9, -5, -10, -5, -10, -4, -10, -3, -10, -2, -10, -1, -10, -1, -9, 0, -9, 1, -8, 1, -7, 2, -7, 1, -6, 1, -5, 0, -4, -1, -3, -2, -2, -3, -2, -5, -1, -7, -1, -8, 0, -10, 0, -11, 0, -13, 0, -14, 1,
-15, 1, -15, 1, -15, 1, -15, 1, -15, 1, -14, 1, -12, 1, -11, 1, -9, 2, -7, 2, -5, 2, -3, 3, 0, 3, 2, 4, 5, 5, 7, 6, 8, 6, 10, 7, 11, 8, 12, 8, 13, 9, 13, 9, 13, 10, 12, 10, 12, 10, 11, 10, 10, 10, 8, 10, 7, 10, 6, 9, 5, 9, 4, 8,
3, 8, 2, 7, 2, 7, 2, 6, 2, 5, 2, 5, 3, 4, 4, 4, 4, 3, 5, 3, 6, 3, 7, 2, 8, 2, 9, 2, 9, 2, 10, 2, 10, 2, 9, 1, 9, 1, 8, 1, 7, 1, 5, 1, 4, 1, 2, 1, 0, 0, -2, 0, -3, -1, -5, -1, -6, -1, -8, -2, -9, -3, -10, -3,
-10, -4, -10, -4, -10, -5, -9, -5, -8, -5, -7, -5, -5, -5, -4, -5, -2, -5, -1, -4, 1, -4, 3, -3, 4, -2, 6, -1, 7, -1, 8, 0, 8, 1, 8, 2, 8, 2, 7, 3, 6, 4, 5, 4, 4, 4, 3, 5, 1, 5, 0, 4, -2, 4, -3, 4, -4, 3, -5, 3, -5, 2, -5, 1,
-5, 1, -5, 0, -5, 0, -4, -1, -3, -1, -1, -1, 0, -2, 1, -2, 3, -2, 4, -2, 6, -2, 7, -1, 8, -1, 9, -1, 10, 0, 10, 0, 10, 0, 9, 0, 9, 1, 8, 1, 7, 1, 5, 1, 4, 1, 2, 0, 0, 0, -1, 0, -2, -1, -4, -1, -5, -2, -6, -2, -6, -3, -7, -3,
-7, -3, -7, -4, -6, -4, -6, -4, -5, -4, -5, -4, -4, -3, -3, -3, -2, -3, -1, -2, 0, -2, 1, -1, 1, -1, 1, 0, 1, 0, 1, 1, 0, 1, -1, 2, -1, 2, -2, 3, -3, 3, -4, 3, -5, 4, -5, 4, -6, 4, -6, 4, -6, 4, -6, 4, -6, 4, -5, 4, -4, 5, -2, 5,
0, 5, 2, 5, 4, 5, 6, 6, 8, 6, 10, 6, 12, 7, 14, 7, 16, 8, 17, 8, 18, 9, 19, 9, 19, 9, 18, 10, 18, 10, 16, 10, 15, 10, 13, 10, 11, 9, 8, 9, 6, 8, 4, 7, 2, 6, -1, 5, -2, 4, -4, 3, -6, 2, -7, 1, -8, -1, -8, -2, -8, -3, -8, -4,
-7, -5, -6, -6, -5, -7, -4, -7, -3, -8, -1, -8, 0, -8, 1, -8, 2, -8, 3, -8, 3, -8, 3, -8, 4, -7, 3, -7, 3, -7, 2, -6, 1, -6, -1, -6, -2, -6, -3, -6, -5, -5, -6, -5, -8, -6, -9, -6, -10, -6, -11, -6, -11, -6, -11, -6, -11, -6, -11, -6, -10, -6, -9, -5,
-9, -5, -7, -5, -6, -4, -5, -3, -3, -3, -2, -2, -1, -1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 3, 2, 4, 2, 5, 2, 5, 2, 6, 1, 6, 1, 6, 0, 6, 0, 6, 0, 6, -1, 6, -1, 6, -1, 6, 0, 5, 0, 5, 1, 5, 2, 5, 3, 4, 5, 4, 6, 4, 7, 4,
9, 4, 10, 3, 12, 3, 13, 4, 14, 4, 14, 4, 15, 4, 15, 4, 14, 4, 13, 4, 12, 4, 11, 4, 9, 4, 7, 4, 5, 3, 3, 3, 0, 3, -2, 2, -4, 2, -6, 1, -7, 1, -9, 1, -10, 0, -10, 0, -10, -1, -10, -1, -10, -1, -9, -2, -7, -2, -6, -2, -4, -2, -2, -2,
0, -2, 2, -1, 4, -1, 6, 0, 7, 1, 9, 1, 10, 2, 11, 3, 11, 4, 11, 4, 11, 5, 11, 6, 10, 6, 9, 7, 8, 7, 6, 8, 5, 8, 4, 8, 2, 8, 1, 8, 0, 7, 0, 7, -1, 7, -1, 6, -1, 6, -1, 5, 0, 5, 0, 4, 1, 4, 2, 3, 3, 3, 4, 3,
5, 2, 7, 2, 8, 2, 8, 2, 9, 2, 9, 1, 9, 1, 8, 1, 8, 1, 7, 1, 6, 0, 5, 0, 3, -1, 2, -2, 0, -2, -1, -3, -3, -4, -4, -5, -5, -6, -6, -7, -7, -8, -7, -9, -8, -9, -8, -10, -7, -11, -7, -11, -7, -11, -6, -12, -5, -12, -5, -12, -4, -11, -3, -11,
-2, -10, -2, -10, -1, -9, -1, -9, -2, -8, -2, -7, -3, -6, -4, -6, -5, -5, -6, -4, -7, -3, -9, -3, -10, -2, -11, -2, -12, -2, -13, -1, -14, -1, -14, -1, -14, -1, -14, 0, -14, 0, -13, 0, -11, 0, -10, 1, -8, 1, -6, 1, -4, 2, -2, 2, 1, 2, 3, 3, 5, 4, 7, 4,
9, 5, 11, 6, 12, 6, 13, 7, 14, 8, 14, 8, 14, 9, 14, 9, 13, 10, 12, 10, 11, 10, 10, 10, 9, 10, 7, 10, 6, 10, 5, 10, 4, 9, 3, 9, 2, 8, 2, 8, 2, 7, 2, 6, 2, 6, 3, 5, 3, 5, 4, 4, 5, 3, 6, 3, 7, 2, 8, 2, 8, 2, 9, 1,
9, 1, 9, 1, 8, 1, 8, 0, 7, 0, 6, 0, 4, 0, 3, 0, 1, 0, 0, -1, -2, -1, -4, -1, -5, -1, -6, -2, -7, -2, -8, -2, -9, -3, -9, -3, -9, -3, -8, -3, -7, -4, -6, -4, -5, -3, -4, -3, -2, -3, -1, -3, 1, -2, 3, -2, 4, -1, 6, -1, 7, 0, 7, 1,
8, 1, 8, 2, 8, 3, 8, 3, 7, 4, 6, 4, 5, 5, 4, 5, 2, 5, 1, 5, 0, 4, -1, 4, -3, 4, -3, 3, -4, 3, -5, 2, -5, 1, -5, 1, -5, 0, -4, -1, -3, -1, -2, -2, -1, -2, 1, -3, 2, -3, 3, -3, 5, -3, 6, -3, 7, -3, 8, -3, 9, -3, 9, -3,
9, -3, 9, -3, 8, -3, 7, -3, 6, -3, 5, -3, 3, -3, 1, -3, 0, -3, -2, -3, -3, -3, -5, -4, -6, -4, -7, -4, -8, -5, -8, -5, -9, -5, -9, -5, -9, -5, -8, -5, -8, -5, -7, -5, -6, -5, -5, -5, -4, -5, -3, -5, -2, -4, -1, -4, 0, -3, 0, -3, 0, -2, 0, -2,
0, -1, 0, 0, 0, 0, -1, 1, -1, 2, -2, 2, -2, 3, -3, 3, -3, 4, -3, 4, -3, 5, -3, 5, -3, 6, -2, 6, -1, 6, 0, 6, 2, 7, 3, 7, 5, 7, 7, 8, 9, 8, 11, 8, 13, 8, 14, 8, 16, 9, 17, 9, 18, 9, 18, 9, 18, 9, 18, 9, 17, 10, 16, 10,
14, 10, 13, 9, 11, 9, 9, 9, 6, 8, 4, 7, 2, 6, 0, 5, -2, 5, -4, 4, -5, 2, -7, 1, -8, 0, -8, -1, -8, -2, -8, -3, -7, -4, -7, -5, -6, -6, -5, -6, -3, -7, -2, -7, -1, -7, 1, -8, 2, -8, 3, -7, 3, -7, 4, -7, 4, -7, 4, -6, 3, -6, 2, -6,
1, -5, 0, -5, -1, -4, -3, -4, -4, -4, -6, -3, -7, -3, -8, -3, -9, -3, -10, -3, -11, -3, -11, -3, -11, -3, -11, -2, -11, -2, -10, -2, -9, -2, -8, -2, -7, -1, -5, -1, -4, -1, -3, 0, -1, 0, 0, 1, 1, 1, 2, 2, 3, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4,
3, 5, 3, 5, 2, 5, 2, 5, 1, 5, 1, 5, 0, 5, 0, 5, 0, 4, 1, 4, 1, 4, 2, 3, 2, 3, 3, 3, 4, 2, 5, 2, 6, 2, 7, 1, 8, 1, 9, 1, 10, 1, 11, 0, 11, 0, 11, 0, 10, 0, 9, 0, 8, -1, 7, -1, 6, -1, 4, -1, 2, -1, 0, -1,
-2, -1, -3, -1, -5, -1, -7, -2, -8, -2, -9, -2, -10, -2, -11, -2, -11, -3, -11, -3, -10, -3, -9, -3, -7, -3, -6, -3, -4, -3, -2, -3, 0, -3, 2, -2, 4, -2, 6, -1, 8, -1, 9, 0, 10, 0, 11, 1, 12, 2, 12, 3, 12, 3, 12, 4, 11, 5, 10, 6, 9, 6, 8, 7,
6, 7, 5, 7, 4, 8, 3, 8, 2, 8, 1, 7, 0, 7, 0, 7, -1, 6, 0, 6, 0, 6, 1, 5, 1, 5, 2, 4, 3, 3, 4, 3, 5, 2, 6, 2, 7, 2, 8, 1, 9, 1, 9, 0, 9, 0, 9, 0, 9, -1, 8, -1, 7, -2, 6, -2, 5, -2, 3, -3, 2, -4, 0, -4,
-2, -5, -3, -5, -4, -6, -5, -6, -6, -7, -7, -7, -7, -8, -8, -8, -8, -9, -7, -9, -7, -9, -7, -9, -6, -9, -5, -9, -5, -9, -4, -8, -3, -8, -2, -8, -2, -7, -2, -7, -2, -6, -2, -6, -2, -5, -3, -4, -4, -3, -5, -3, -6, -2, -7, -2, -8, -1, -9, -1, -10, 0, -10, 0,
-11, 1, -11, 1, -11, 2, -11, 2, -11, 2, -10, 2, -9, 2, -8, 3, -6, 3, -4, 3, -2, 3, 0, 4, 2, 4, 4, 4, 6, 4, 8, 5, 10, 5, 11, 6, 12, 6, 13, 6, 14, 7, 14, 7, 14, 7, 13, 8, 12, 8, 11, 8, 10, 8, 9, 8, 7, 8, 6, 8, 5, 8, 3, 8,
2, 8, 1, 7, 0, 7, 0, 6, -1, 5, -1, 5, 0, 4, 0, 3, 1, 3, 1, 2, 2, 1, 3, 0, 4, -1, 4, -1, 5, -2, 6, -2, 6, -3, 6, -3, 6, -3, 5, -4, 4, -4, 4, -4, 3, -4, 1, -4, 0, -4, -1, -4, -3, -4, -4, -4, -6, -4, -7, -4, -8, -3, -8, -3,
-9, -3, -9, -3, -9, -3, -8, -3, -7, -3, -6, -2, -5, -2, -3, -2, -2, -1, 0, -1, 1, -1, 3, 0, 4, 0, 6, 1, 7, 1, 8, 2, 8, 2, 9, 3, 9, 3, 8, 4, 8, 4, 7, 4, 6, 4, 5, 4, 4, 4, 2, 4, 1, 4, 0, 4, -1, 3, -2, 3, -3, 3, -4, 2,
-4, 2, -4, 1, -4, 1, -3, 0, -2, 0, -1, -1, 0, -1, 1, -2, 2, -2, 3, -3, 5, -3, 6, -3, 7, -3, 8, -3, 9, -3, 9, -3, 9, -3, 9, -3, 8, -3, 8, -3, 6, -3, 5, -3, 4, -3, 2, -2, 1, -2, -1, -2, -2, -2, -4, -2, -5, -2, -6, -2, -7, -2, -8, -2,
-8, -2, -8, -2, -8, -2, -8, -2, -7, -2, -6, -2, -6, -2, -5, -2, -4, -2, -3, -2, -2, -2, -1, -2, 0, -1, 1, -1, 1, -1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 3, 0, 4, -1, 4, -1, 5, -1, 6, -1, 6, -1, 7, -1, 7, 0, 7, 0, 8, 1, 8,
3, 8, 4, 8, 6, 8, 7, 8, 9, 8, 10, 8, 12, 8, 13, 8, 14, 7, 15, 7, 16, 7, 16, 7, 15, 6, 15, 6, 14, 6, 13, 5, 11, 5, 9, 4, 8, 4, 5, 3, 3, 3, 1, 2, -1, 1, -3, 0, -5, 0, -7, -1, -8, -2, -9, -3, -10, -4, -10, -5, -10, -5, -10, -6,
-9, -7, -8, -7, -7, -8, -6, -8, -5, -9, -3, -9, -2, -9, -1, -9, 1, -9, 2, -9, 2, -9, 3, -8, 3, -8, 3, -8, 3, -7, 2, -7, 1, -6, 0, -6, -1, -5, -3, -5, -4, -4, -6, -4, -7, -3, -8, -3, -9, -3, -10, -2, -10, -2, -11, -2, -11, -2, -11, -1, -10, -1, -9, -1,
-8, -1, -7, 0, -6, 0, -5, 0, -3, 0, -2, 0, 0, 0, 1, 1, 3, 1, 4, 1, 4, 2, 5, 2, 6, 2, 6, 2, 6, 3, 6, 3, 6, 3, 5, 3, 5, 3, 4, 4, 3, 4, 3, 4, 3, 4, 2, 4, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 5, 4, 5, 4,
6, 3, 7, 3, 8, 3, 8, 2, 9, 2, 9, 2, 10, 2, 10, 1, 9, 1, 8, 1, 8, 1, 6, 1, 5, 1, 4, 1, 2, 0, 0, 0, -1, 0, -3, 0, -4, 0, -6, 0, -7, 0, -8, 0, -8, 0, -9, 0, -9, 0, -8, 0, -8, 0, -7, 0, -5, 0, -4, 0, -2, 1, 0, 1,
2, 1, 3, 1, 5, 1, 7, 2, 9, 2, 10, 2, 11, 3, 12, 3, 12, 3, 12, 4, 12, 4, 12, 5, 11, 5, 10, 6, 8, 6, 7, 6, 6, 7, 4, 7, 3, 7, 2, 7, 1, 7, 0, 6, -1, 6, -1, 6, -2, 5, -2, 5, -1, 4, -1, 4, 0, 3, 1, 3, 2, 2, 3, 1,
4, 1, 5, 0, 6, 0, 7, -1, 7, -2, 8, -2, 8, -3, 7, -3, 7, -4, 6, -4, 5, -5, 4, -5, 3, -6, 1, -6, 0, -6, -2, -7, -3, -7, -5, -7, -6, -8, -7, -8, -8, -8, -9, -8, -9, -8, -9, -8, -9, -8, -9, -8, -9, -8, -8, -8, -7, -8, -7, -7, -6, -7, -5, -7,
-4, -7, -3, -7, -3, -6, -2, -6, -2, -5, -2, -5, -2, -5, -3, -4, -3, -4, -4, -3, -5, -3, -5, -2, -6, -2, -7, -2, -8, -1, -8, -1, -9, 0, -9, 0, -9, 1, -9, 1, -9, 2, -8, 2, -7, 2, -6, 3, -4, 3, -2, 3, -1, 4, 1, 4, 3, 4, 5, 5, 7, 5, 9, 5,
10, 6, 12, 6, 13, 6, 13, 6, 14, 7, 14, 7, 14, 7, 13, 8, 12, 8, 11, 8, 10, 8, 9, 8, 7, 8, 6, 8, 4, 8, 3, 8, 2, 8, 1, 8, 0, 7, 0, 7, -1, 7, -1, 6, 0, 5, 0, 5, 1, 4, 1, 3, 2, 3, 3, 2, 3, 1, 4, 0, 5, 0, 5, -1,
5, -1, 5, -2, 5, -2, 4, -3, 4, -3, 3, -3, 2, -4, 1, -4, -1, -4, -2, -4, -3, -4, -5, -3, -6, -3, -7, -3, -8, -3, -8, -3, -8, -2, -8, -2, -8, -2, -7, -1, -6, -1, -5, -1, -4, 0, -2, 0, -1, 1, 1, 1, 2, 1, 4, 1, 5, 1, 7, 2, 8, 2, 8, 2,
9, 2, 9, 2, 9, 2, 9, 2, 8, 2, 7, 2, 6, 2, 5, 2, 3, 2, 2, 1, 1, 1, -1, 1, -2, 1, -3, 0, -4, 0, -4, 0, -5, 0, -5, -1, -4, -1, -4, -1, -3, -2, -2, -2, -1, -2, 0, -2, 2, -3, 3, -3, 4, -3, 5, -3, 6, -4, 7, -4, 8, -4, 8, -4,
8, -4, 8, -4, 7, -4, 7, -4, 6, -4, 4, -4, 3, -4, 1, -4, 0, -4, -2, -4, -3, -4, -4, -3, -6, -3, -7, -3, -7, -3, -8, -3, -8, -3, -9, -3, -8, -3, -8, -3, -7, -3, -6, -2, -5, -2, -4, -2, -3, -2, -2, -2, -1, -2, 0, -2, 1, -2, 1, -1, 2, -1, 2, -1,
2, 0, 3, 0, 3, 1, 2, 1, 2, 2, 2, 3, 1, 4, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, 8, 2, 9, 3, 9, 4, 10, 5, 10, 6, 11, 7, 11, 9, 11, 10, 11, 11, 11, 12, 11, 13, 10, 14, 10, 15, 10, 15, 9, 15, 9, 14, 8, 14, 7, 12, 7, 11, 6,
9, 5, 8, 5, 6, 4, 3, 3, 1, 2, -1, 1, -3, 1, -5, 0, -6, -1, -8, -1, -9, -2, -10, -2, -10, -3, -10, -4, -10, -4, -10, -5, -9, -5, -8, -5, -7, -5, -5, -6, -4, -6, -3, -6, -1, -6, 0, -6, 1, -6, 2, -6, 3, -6, 3, -6, 3, -6, 3, -6, 2, -5, 2, -5,
1, -5, -1, -4, -2, -4, -3, -4, -5, -3, -6, -3, -7, -3, -8, -2, -9, -2, -10, -1, -10, -1, -10, -1, -10, 0, -10, 0, -9, 0, -8, 0, -7, 1, -6, 1, -5, 1, -3, 1, -2, 1, 0, 1, 2, 2, 3, 2, 4, 2, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 7, 2, 6, 2,
6, 2, 5, 2, 5, 2, 4, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 2, 5, 2, 6, 2, 6, 1, 7, 1, 7, 0, 7, 0, 7, -1, 7, -1, 6, -1, 5, -2, 4, -2, 3, -2, 1, -3, 0, -3, -2, -3,
-3, -3, -4, -3, -6, -3, -7, -3, -8, -3, -8, -2, -9, -2, -9, -2, -8, -2, -8, -1, -7, -1, -6, 0, -4, 0, -3, 0, -1, 1, 1, 1, 3, 2, 4, 2, 6, 2, 8, 3, 9, 3, 11, 4, 12, 4, 12, 4, 12, 5, 12, 5, 12, 5, 11, 6, 10, 6, 9, 6, 8, 6, 7, 7,
5, 7, 4, 7, 3, 7, 2, 7, 1, 7, 0, 7, 0, 6, -1, 6, -1, 6, 0, 6, 0, 5, 1, 5, 2, 4, 3, 4, 4, 3, 4, 2, 5, 2, 6, 1, 7, 0, 8, 0, 8, -1, 8, -2, 8, -3, 7, -3, 6, -4, 5, -4, 4, -5, 3, -6, 2, -6, 0, -6, -2, -7, -3, -7,
-5, -7, -6, -7, -7, -7, -8, -7, -9, -7, -9, -7, -9, -7, -9, -6, -9, -6, -9, -6, -8, -5, -7, -5, -6, -5, -5, -5, -4, -4, -3, -4, -2, -4, -2, -4, -1, -3, -1, -3, 0, -3, 0, -3, -1, -3, -1, -2, -1, -2, -2, -2, -3, -2, -4, -1, -4, -1, -5, -1, -6, 0, -7, 0,
-7, 1, -7, 1, -7, 2, -7, 2, -7, 3, -6, 3, -5, 4, -4, 4, -2, 5, -1, 5, 1, 6, 3, 6, 4, 6, 6, 7, 8, 7, 9, 7, 11, 7, 12, 7, 12, 7, 13, 7, 13, 7, 13, 7, 12, 7, 11, 7, 10, 7, 9, 6, 8, 6, 6, 6, 5, 6, 4, 5, 2, 5, 1, 5,
0, 5, -1, 4, -2, 4, -2, 4, -2, 3, -2, 3, -2, 2, -2, 2, -1, 1, -1, 1, 0, 0, 1, -1, 1, -1, 2, -2, 2, -2, 2, -3, 2, -3, 2, -4, 2, -4, 1, -5, 1, -5, 0, -5, -1, -5, -2, -5, -3, -5, -5, -5, -6, -5, -7, -4, -8, -4, -8, -3, -8, -3, -8, -2,
-8, -1, -8, -1, -7, 0, -6, 0, -5, 1, -3, 2, -2, 2, 0, 3, 2, 3, 3, 3, 5, 4, 6, 4, 8, 4, 9, 4, 10, 4, 10, 4, 11, 4, 10, 4, 10, 4, 9, 3, 9, 3, 7, 3, 6, 2, 5, 2, 3, 1, 2, 1, 0, 1, -1, 1, -2, 1, -3, 0, -4, 0, -4, 0,
-4, 0, -4, 0, -4, 0, -3, 0, -2, 0, -1, 0, 0, -1, 1, -1, 2, -1, 4, -1, 5, -1, 6, -1, 7, -1, 8, -2, 8, -2, 8, -2, 8, -2, 8, -3, 7, -3, 6, -3, 5, -3, 4, -3, 2, -3, 1, -3, -1, -3, -2, -3, -3, -3, -5, -3, -6, -3, -6, -3, -7, -2, -7, -2,
-8, -2, -8, -2, -7, -1, -7, -1, -6, -1, -5, 0, -4, 0, -3, 0, -2, 0, -1, 0, 0, 1, 1, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 2, 4, 2, 5, 2, 5, 1, 6, 1, 7, 1, 7, 1, 8, 2, 8, 2, 9, 3, 9, 3, 10, 4, 10,
5, 10, 6, 10, 7, 10, 9, 10, 10, 10, 11, 10, 11, 9, 12, 9, 13, 8, 13, 7, 13, 6, 12, 6, 11, 5, 10, 4, 9, 3, 7, 2, 5, 1, 3, 0, 1, -1, -1, -2, -3, -3, -5, -4, -7, -4, -9, -5, -10, -5, -11, -6, -12, -6, -12, -6, -12, -7, -12, -7, -12, -7, -11, -7,
-10, -7, -8, -7, -7, -7, -6, -7, -4, -6, -3, -6, -1, -6, 0, -6, 1, -6, 2, -6, 2, -6, 3, -5, 2, -5, 2, -5, 1, -5, 1, -5, 0, -4, -1, -4, -2, -4, -4, -3, -5, -3, -6, -3, -7, -2, -7, -2, -8, -1, -8, -1, -8, 0, -8, 0, -8, 1, -7, 1, -6, 2, -5, 2,
-4, 3, -2, 3, -1, 3, 1, 3, 2, 4, 4, 4, 5, 4, 6, 4, 7, 4, 7, 3, 8, 3, 8, 3, 8, 3, 8, 3, 7, 3, 7, 3, 6, 2, 5, 2, 4, 2, 4, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3,
5, 3, 6, 3, 6, 2, 7, 2, 7, 2, 7, 1, 7, 1, 7, 0, 6, 0, 5, -1, 4, -1, 3, -1, 2, -2, 0, -2, -1, -2, -2, -2, -4, -2, -5, -2, -6, -2, -7, -1, -8, -1, -8, 0, -8, 0, -8, 1, -8, 1, -7, 2, -6, 2, -4, 3, -3, 4, -1, 4, 1, 5, 2, 5,
4, 6, 6, 6, 8, 7, 9, 7, 10, 7, 11, 7, 12, 7, 12, 7, 12, 7, 11, 7, 11, 7, 10, 6, 9, 6, 7, 6, 6, 6, 5, 6, 4, 5, 2, 5, 1, 5, 1, 5, 0, 4, -1, 4, -1, 4, -1, 4, -1, 3, -1, 3, 0, 2, 1, 2, 2, 1, 2, 1, 3, 0, 4, 0,
5, -1, 5, -2, 5, -2, 6, -3, 5, -4, 5, -5, 4, -5, 4, -6, 3, -7, 2, -7, 0, -8, -1, -8, -3, -9, -4, -9, -6, -9, -7, -9, -8, -9, -9, -9, -10, -8, -10, -8, -10, -8, -10, -7, -10, -7, -10, -6, -9, -5, -8, -5, -7, -4, -6, -4, -4, -3, -3, -3, -2, -2, -1, -2,
0, -2, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, -1, -1, -2, 0, -3, 0, -4, 0, -5, 0, -5, 1, -6, 1, -6, 2, -6, 2, -6, 3, -6, 3, -5, 4, -4, 5, -3, 5, -1, 6, 0, 6, 2, 7, 3, 7, 5, 8, 6, 8, 8, 8, 9, 8, 11, 8,
12, 8, 12, 8, 13, 7, 13, 7, 13, 7, 12, 6, 11, 6, 10, 6, 9, 5, 8, 5, 6, 5, 5, 4, 3, 4, 2, 4, 1, 3, 0, 3, -1, 3, -2, 3, -2, 2, -3, 2, -3, 2, -3, 2, -2, 2, -2, 1, -1, 1, -1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, -1, 1, -1,
1, -1, 1, -2, 0, -2, -1, -2, -1, -3, -2, -3, -3, -3, -4, -3, -5, -3, -6, -2, -7, -2, -8, -2, -8, -1, -8, -1, -8, 0, -7, 0, -7, 1, -6, 1, -5, 2, -3, 2, -2, 3, 0, 4, 1, 4, 3, 4, 5, 4, 6, 4, 8, 4, 9, 4, 10, 4, 11, 4, 11, 3, 11, 3,
11, 2, 10, 2, 9, 1, 8, 1, 7, 0, 5, -1, 4, -1, 2, -2, 1, -2, -1, -2, -2, -3, -3, -3, -4, -3, -5, -3, -5, -3, -5, -3, -5, -3, -5, -3, -4, -3, -3, -3, -2, -2, -1, -2, 0, -2, 2, -2, 3, -2, 4, -2, 5, -2, 6, -2, 7, -2, 7, -3, 7, -3, 7, -3,
6, -4, 6, -4, 5, -4, 4, -4, 3, -4, 1, -5, 0, -5, -1, -5, -3, -5, -4, -4, -5, -4, -6, -4, -6, -3, -7, -3, -7, -2, -7, -2, -7, -1, -6, -1, -5, 0, -5, 0, -4, 1, -3, 1, -2, 2, 0, 2, 1, 2, 2, 3, 2, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 3, 5, 3, 5, 2, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 8, 2, 8, 3, 8, 3, 9, 4, 9, 5, 9, 6, 10, 7, 10, 8, 10, 9, 10, 10, 10, 11, 10, 12, 9, 12, 9, 13, 8, 13, 7, 12, 7, 12, 6, 11, 5, 9, 4, 8, 3, 6, 2, 4, 1,
2, 0, 0, -1, -2, -2, -4, -2, -6, -3, -8, -4, -10, -4, -11, -4, -12, -4, -12, -4, -13, -4, -13, -4, -13, -4, -12, -4, -11, -4, -10, -4, -8, -3, -7, -3, -5, -3, -4, -3, -2, -3, -1, -2, 0, -2, 1, -2, 2, -2, 2, -3, 3, -3, 2, -3, 2, -3, 2, -3, 1, -3, 0, -3,
-1, -3, -2, -3, -3, -3, -4, -3, -5, -3, -5, -2, -6, -2, -6, -1, -7, -1, -7, -1, -6, 0, -6, 0, -5, 1, -4, 1, -3, 2, -2, 2, 0, 2, 1, 3, 2, 3, 3, 3, 5, 3, 5, 3, 6, 3, 7, 3, 7, 2, 7, 2, 7, 2, 7, 1, 6, 1, 5, 1, 5, 0, 4, 0,
3, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 1, 3, 1, 4, 1, 5, 1, 6, 1, 6, 1, 6, 1, 6, 0, 6, 0, 6, -1, 5, -1, 4, -1, 3, -2, 2, -2, 1, -2, -1, -3, -2, -3, -4, -3, -5, -3,
-6, -3, -7, -3, -8, -2, -9, -2, -9, -1, -9, 0, -8, 0, -8, 1, -7, 2, -5, 2, -4, 3, -2, 4, 0, 5, 1, 5, 3, 6, 5, 6, 7, 7, 8, 7, 10, 7, 11, 7, 11, 7, 12, 7, 12, 7, 12, 7, 12, 6, 11, 6, 10, 6, 9, 5, 8, 5, 7, 5, 5, 4, 4, 4,
3, 4, 2, 4, 1, 4, 1, 3, 0, 3, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 2, 2, 2, 3, 2, 3, 1, 4, 1, 4, 0, 5, 0, 5, -1, 5, -2, 4, -2, 4, -3, 3, -4, 2, -4, 1, -5, -1, -6, -2, -6, -3, -7, -5, -7, -6, -7, -7, -7, -8, -7, -9, -7,
-10, -7, -10, -7, -10, -6, -10, -6, -9, -6, -9, -5, -8, -4, -7, -4, -6, -3, -4, -3, -3, -2, -2, -2, -1, -1, 1, -1, 2, -1, 2, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, -1, 2, -1, 1, -1, 0, -1, -1, -1, -2, -1, -3, -1, -3, -1, -4, 0, -5, 0, -5, 0, -6, 1,
-6, 1, -5, 2, -5, 3, -4, 3, -3, 4, -2, 5, -1, 5, 1, 6, 2, 6, 4, 7, 5, 7, 7, 7, 8, 8, 10, 8, 11, 8, 11, 7, 12, 7, 12, 6, 12, 6, 11, 5, 10, 5, 9, 4, 8, 4, 7, 3, 5, 3, 4, 2, 2, 2, 1, 1, 0, 1, -1, 1, -2, 0, -3, 0,
-4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -3, 0, -3, 0, -2, 0, -2, 0, -1, 0, -1, -1, 0, -1, 0, -1, 0, -1, 0, -2, -1, -2, -1, -2, -2, -2, -2, -3, -3, -3, -4, -3, -5, -3, -6, -3, -6, -3, -7, -3, -7, -2, -8, -2, -8, -2, -7, -1, -7, 0, -6, 0, -5, 1,
-4, 1, -2, 2, -1, 3, 1, 4, 3, 4, 4, 5, 6, 5, 8, 5, 9, 5, 10, 5, 12, 5, 12, 5, 13, 4, 13, 4, 12, 3, 12, 3, 11, 2, 10, 2, 8, 1, 7, 1, 5, 0, 3, -1, 2, -1, 0, -1, -1, -2, -3, -2, -4, -2, -4, -2, -5, -2, -5, -2, -5, -2, -5, -1,
-4, -1, -3, -1, -2, -1, -1, 0, 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, -1, 6, -1, 6, -1, 6, -2, 6, -2, 5, -3, 4, -3, 3, -4, 2, -4, 1, -4, 0, -5, -1, -5, -2, -5, -4, -5, -4, -5, -5, -5, -6, -4, -6, -4, -6, -3, -6, -3, -6, -2, -5, -1,
-4, 0, -3, 0, -2, 1, -1, 2, 0, 2, 1, 3, 2, 3, 3, 4, 3, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 3, 5, 3, 5, 2, 5, 2, 5, 1, 6, 1, 6, 1, 6, 1, 6, 1, 7, 2, 7, 2, 7, 3, 8, 4, 8, 5, 8, 6, 8, 7, 8,
8, 8, 9, 8, 10, 8, 11, 8, 11, 7, 11, 6, 11, 6, 11, 5, 10, 4, 9, 3, 8, 2, 6, 1, 5, 0, 3, -1, 1, -2, -2, -3, -4, -4, -6, -5, -8, -5, -9, -6, -11, -6, -12, -6, -13, -7, -14, -7, -14, -6, -14, -6, -14, -6, -13, -6, -12, -5, -11, -5, -9, -5, -8, -4,
-6, -4, -5, -4, -3, -3, -2, -3, 0, -3, 1, -3, 2, -3, 2, -3, 3, -3, 3, -3, 3, -3, 2, -3, 2, -3, 1, -3, 0, -3, 0, -3, -1, -3, -2, -3, -3, -3, -3, -3, -4, -2, -4, -2, -4, -1, -4, 0, -3, 0, -3, 1, -2, 1, -1, 2, 0, 3, 1, 3, 2, 4, 3, 4,
4, 4, 5, 5, 6, 5, 7, 5, 7, 5, 7, 5, 7, 4, 7, 4, 7, 3, 6, 3, 5, 2, 4, 2, 3, 1, 3, 1, 2, 0, 1, 0, 0, 0, -1, 0, -1, -1, -2, -1, -2, -1, -2, 0, -1, 0, -1, 0, 0, 0, 1, 0, 2, 1, 3, 1, 3, 1, 4, 1, 5, 1, 6, 1,
6, 1, 7, 1, 7, 1, 7, 1, 6, 0, 6, 0, 5, -1, 4, -1, 2, -1, 1, -2, 0, -2, -2, -2, -3, -2, -4, -2, -6, -2, -7, -2, -7, -1, -8, -1, -8, 0, -8, 0, -7, 1, -7, 2, -6, 3, -4, 4, -3, 5, -1, 5, 0, 6, 2, 7, 4, 8, 5, 8, 7, 8, 9, 9,
10, 9, 11, 9, 12, 9, 12, 8, 12, 8, 12, 7, 11, 7, 11, 6, 10, 6, 9, 5, 7, 5, 6, 4, 5, 4, 4, 3, 3, 3, 2, 3, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, -1, 3, -1, 3, -2, 3, -2,
2, -3, 2, -4, 1, -5, 0, -5, -1, -6, -2, -7, -3, -8, -5, -8, -6, -9, -7, -9, -8, -9, -9, -9, -10, -9, -10, -9, -11, -9, -11, -9, -10, -8, -10, -8, -9, -7, -8, -6, -7, -5, -6, -5, -4, -4, -3, -3, -1, -2, 0, -2, 1, -1, 3, -1, 4, 0, 4, 0, 5, 0, 5, 0,
5, 0, 5, 0, 4, 0, 4, 0, 3, 0, 2, 0, 1, 0, 0, 0, -2, 0, -2, 0, -3, 0, -4, 1, -4, 1, -5, 2, -5, 2, -5, 3, -4, 3, -3, 4, -2, 5, -1, 6, 0, 6, 2, 7, 3, 7, 4, 8, 6, 8, 7, 8, 8, 8, 9, 8, 10, 8, 11, 8, 11, 7, 11, 7,
10, 6, 10, 5, 9, 5, 8, 4, 6, 3, 5, 3, 4, 2, 2, 1, 1, 1, 0, 0, -1, 0, -2, 0, -3, -1, -3, -1, -4, -1, -4, -1, -4, -1, -4, 0, -3, 0, -3, 0, -2, 0, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1,
-2, -1, -3, -1, -4, -1, -5, -1, -5, -1, -6, -1, -7, -1, -7, -1, -7, 0, -7, 0, -6, 1, -6, 1, -5, 2, -4, 3, -3, 3, -1, 4, 1, 5, 3, 5, 4, 6, 6, 6, 8, 6, 9, 6, 10, 6, 11, 6, 12, 6, 13, 5, 13, 4, 13, 4, 12, 3, 11, 2, 10, 1, 8, 1,
7, 0, 5, -1, 3, -2, 2, -2, 0, -3, -2, -4, -3, -4, -4, -4, -5, -5, -6, -5, -6, -5, -7, -5, -6, -5, -6, -4, -5, -4, -4, -4, -3, -4, -2, -3, -1, -3, 0, -3, 1, -3, 2, -3, 3, -3, 3, -3, 4, -3, 4, -3, 4, -4, 4, -4, 3, -5, 3, -5, 2, -5, 1, -6,
0, -6, -1, -6, -1, -6, -2, -6, -3, -6, -4, -6, -4, -6, -5, -5, -5, -5, -5, -4, -4, -3, -4, -3, -3, -2, -2, -1, -2, 0, -1, 1, 0, 2, 1, 3, 2, 4, 3, 4, 4, 5, 5, 6, 5, 6, 5, 6, 5, 7, 5, 7, 5, 7, 5, 7, 4, 7, 4, 7, 3, 7, 2, 7,
2, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 2, 8, 3, 8, 4, 8, 5, 8, 6, 8, 7, 8, 9, 8, 9, 8, 10, 8, 11, 7, 11, 7, 11, 6, 11, 5, 11, 4, 10, 3, 9, 2, 7, 1, 6, 0, 4, -1, 2, -2, 0, -2, -3, -3, -5, -4, -7, -5,
-8, -5, -10, -5, -11, -6, -12, -6, -13, -6, -13, -5, -14, -5, -13, -5, -13, -4, -12, -4, -11, -3, -9, -3, -8, -2, -7, -1, -5, -1, -4, -1, -2, 0, -1, 0, 0, 0, 1, 0, 2, 0, 3, 0, 3, 0, 3, 0, 3, 0, 2, -1, 2, -1, 1, -1, 1, -1, 0, -1, -1, -1, -1, -1,
-2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -1, 1, -1, 1, 0, 2, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 4, 6, 4, 6, 4, 6, 3, 6, 3, 6, 3, 5, 2, 5, 1, 4, 1, 3, 0, 2, -1, 1, -1, 0, -2, -1, -3, -2, -3, -3, -4, -3, -4, -4, -4,
-4, -4, -4, -4, -4, -4, -4, -4, -3, -4, -2, -3, -1, -3, 0, -3, 1, -2, 2, -2, 3, -1, 4, -1, 5, -1, 6, -1, 6, -1, 7, 0, 7, -1, 6, -1, 6, -1, 5, -1, 4, -1, 3, -2, 2, -2, 0, -2, -1, -2, -2, -2, -3, -2, -5, -2, -5, -1, -6, -1, -7, 0, -7, 0,
-7, 1, -6, 2, -6, 2, -5, 3, -4, 4, -2, 5, -1, 6, 1, 7, 2, 8, 4, 9, 5, 9, 7, 10, 8, 10, 10, 10, 11, 10, 11, 10, 12, 9, 12, 9, 12, 8, 11, 8, 11, 7, 10, 6, 9, 6, 7, 5, 6, 4, 5, 4, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1,
0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, 0, 3, -1, 3, -1, 3, -1, 3, -2, 2, -3, 2, -3, 1, -4, 0, -5, -1, -5, -3, -6, -4, -6, -5, -7, -6, -7, -7, -8, -9, -8, -9, -8, -10, -8, -10, -8, -11, -7, -11, -7, -10, -6, -10, -6, -9, -5,
-8, -4, -6, -3, -5, -2, -3, -2, -2, -1, 0, 0, 1, 1, 3, 1, 4, 2, 5, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 5, 2, 5, 2, 4, 2, 3, 1, 1, 1, 0, 1, -1, 0, -2, 0, -3, 0, -3, 0, -4, 0, -4, 0, -4, 1, -4, 1, -4, 2, -3, 2, -3, 3,
-2, 3, 0, 4, 1, 4, 2, 5, 3, 5, 4, 5, 5, 5, 7, 6, 7, 6, 8, 5, 8, 5, 8, 5, 8, 4, 8, 3, 7, 3, 6, 2, 5, 1, 4, 1, 3, 0, 2, -1, 1, -1, 0, -2, -1, -2, -2, -2, -3, -2, -3, -2, -3, -2, -4, -2, -3, -2, -3, -2, -3, -1, -2, -1,
-2, 0, -1, 0, -1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, -1, 1, -2, 1, -3, 1, -4, 1, -4, 1, -5, 1, -6, 1, -6, 1, -7, 1, -7, 1, -7, 2, -6, 2, -5, 3, -5, 4, -3, 4, -2, 5, 0, 5, 1, 6, 3, 6, 5, 7,
7, 7, 8, 7, 10, 7, 11, 7, 12, 7, 13, 6, 13, 6, 13, 5, 13, 4, 12, 3, 12, 2, 10, 2, 9, 1, 7, 0, 6, -1, 4, -2, 2, -3, 0, -4, -1, -4, -2, -5, -4, -5, -5, -5, -5, -5, -6, -5, -6, -5, -6, -5, -6, -5, -5, -4, -4, -4, -4, -3, -3, -3, -2, -2,
-1, -2, 0, -2, 1, -2, 1, -1, 2, -1, 2, -2, 2, -2, 2, -2, 2, -2, 2, -3, 1, -3, 1, -3, 0, -4, -1, -4, -2, -4, -2, -4, -3, -4, -4, -4, -4, -4, -4, -4, -4, -3, -4, -3, -3, -2, -3, -2, -2, -1, -1, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4,
5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 5, 6, 4, 6, 3, 6, 2, 5, 2, 5, 1, 5, 0, 5, 0, 4, -1, 4, -1, 4, -1, 4, -1, 4, 0, 4, 0, 5, 1, 5, 2, 5, 3, 5, 4, 5, 5, 5, 7, 5, 8, 5, 9, 5, 9, 5, 10, 5, 11, 4,
11, 4, 11, 3, 10, 2, 9, 2, 8, 1, 7, 0, 5, -1, 3, -2, 1, -3, -1, -4, -3, -4, -5, -5, -7, -5, -8, -6, -10, -6, -11, -6, -12, -6, -13, -6, -13, -5, -13, -5, -13, -4, -12, -4, -11, -3, -10, -2, -9, -2, -8, -1, -6, 0, -5, 0, -4, 1, -2, 1, -1, 1, 0, 2,
1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 2, 4, 2, 4, 2, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 2,
6, 2, 5, 1, 4, 1, 3, 0, 2, -1, 1, -1, -1, -2, -2, -2, -3, -3, -4, -3, -5, -4, -5, -4, -6, -4, -6, -4, -6, -4, -5, -3, -5, -3, -4, -3, -3, -2, -2, -2, -1, -1, 1, -1, 2, 0, 3, 0, 4, 1, 5, 1, 6, 1, 6, 2, 6, 2, 6, 2, 6, 1, 6, 1,
5, 1, 4, 1, 3, 1, 2, 0, 1, 0, 0, 0, -2, 0, -3, 0, -4, 0, -4, 0, -5, 0, -5, 1, -5, 1, -5, 2, -5, 3, -4, 3, -3, 4, -2, 5, -1, 6, 1, 7, 2, 8, 3, 8, 5, 9, 6, 9, 8, 9, 9, 9, 10, 9, 10, 9, 11, 9, 11, 8, 11, 8, 10, 7,
10, 7, 9, 6, 8, 5, 7, 4, 6, 4, 5, 3, 4, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 3, -1, 3, -1, 3, -1, 2, -2, 2, -2, 1, -3, 0, -3, -1, -4, -2, -5, -3, -5, -4, -6,
-6, -7, -7, -7, -8, -7, -9, -8, -10, -8, -11, -8, -11, -8, -12, -8, -12, -7, -11, -7, -11, -6, -10, -5, -9, -5, -8, -4, -6, -3, -4, -2, -3, -1, -1, 0, 0, 0, 2, 1, 3, 1, 5, 2, 6, 2, 6, 3, 7, 3, 7, 3, 7, 2, 7, 2, 6, 2, 5, 2, 4, 1, 3, 1,
2, 0, 1, 0, 0, 0, -1, 0, -2, 0, -2, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 1, -2, 1, -1, 2, 0, 2, 1, 3, 1, 3, 2, 4, 3, 4, 4, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 6, 4, 6, 4, 5, 3, 5, 3, 4, 2, 3, 2, 2, 1, 1, 0,
0, 0, -1, 0, -2, -1, -3, -1, -3, -1, -3, -1, -3, -1, -3, -1, -3, -1, -3, 0, -2, 0, -1, 0, -1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 1, 2, 0, 2, -1, 2, -2, 2, -3, 2, -4, 1, -5, 1, -5, 1,
-6, 2, -6, 2, -6, 2, -6, 2, -5, 3, -5, 3, -4, 4, -3, 4, -1, 5, 0, 5, 2, 6, 4, 6, 5, 7, 7, 7, 8, 7, 10, 7, 11, 7, 12, 7, 13, 6, 13, 5, 13, 5, 13, 4, 12, 3, 11, 2, 10, 1, 8, 0, 7, -1, 5, -2, 3, -3, 2, -4, 0, -5, -1, -5,
-3, -6, -4, -6, -5, -7, -6, -7, -6, -7, -6, -7, -6, -6, -6, -6, -6, -6, -5, -5, -5, -5, -4, -4, -4, -4, -3, -4, -2, -3, -1, -3, -1, -3, -1, -3, 0, -3, 0, -3, -1, -3, -1, -3, -1, -4, -2, -4, -2, -4, -3, -4, -3, -4, -4, -5, -4, -5, -4, -5, -5, -5, -5, -4,
-4, -4, -4, -4, -3, -3, -3, -2, -2, -2, -1, -1, 0, 0, 2, 1, 3, 1, 4, 2, 5, 3, 6, 4, 6, 4, 7, 5, 8, 5, 8, 5, 8, 6, 7, 6, 7, 6, 6, 5, 6, 5, 5, 5, 4, 5, 3, 5, 2, 4, 1, 4, 0, 4, -1, 4, -1, 4, -2, 4, -2, 4, -1, 4,
-1, 4, -1, 4, 0, 5, 1, 5, 2, 5, 3, 6, 5, 6, 6, 6, 7, 6, 8, 6, 9, 6, 10, 6, 10, 6, 10, 5, 10, 5, 10, 4, 9, 3, 8, 3, 6, 2, 5, 1, 3, 0, 2, -1, 0, -2, -2, -2, -4, -3, -5, -3, -7, -4, -8, -4, -9, -4, -10, -4, -11, -4, -11, -3,
-11, -3, -11, -3, -11, -2, -10, -1, -9, -1, -8, 0, -7, 1, -5, 1, -4, 2, -3, 2, -2, 3, -1, 3, 0, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0,
3, 1, 3, 1, 4, 1, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 7, 2, 7, 2, 7, 2, 7, 2, 6, 1, 5, 0, 4, 0, 3, -1, 1, -2, 0, -2, -1, -3, -3, -4, -4, -4, -5, -5, -7, -5, -7, -5, -8, -6, -8, -6, -9, -6, -8, -5, -8, -5, -7, -5, -7, -4, -5, -4,
-4, -3, -3, -3, -2, -2, 0, -2, 1, -1, 2, -1, 3, 0, 4, 0, 5, 0, 5, 1, 5, 1, 5, 1, 5, 1, 5, 0, 4, 0, 3, 0, 2, 0, 1, -1, 0, -1, -1, -1, -2, -1, -2, -1, -3, -1, -3, 0, -4, 0, -4, 1, -3, 1, -3, 2, -2, 3, -1, 3, 0, 4, 1, 5,
2, 6, 3, 7, 5, 7, 6, 8, 7, 8, 8, 9, 9, 9, 10, 9, 11, 9, 11, 9, 11, 9, 10, 8, 10, 8, 9, 7, 8, 6, 8, 6, 7, 5, 6, 4, 5, 4, 4, 3, 3, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1,
2, 1, 3, 1, 3, 1, 3, 0, 3, 0, 3, 0, 2, -1, 2, -1, 1, -2, 0, -3, -1, -3, -2, -4, -4, -5, -5, -5, -6, -6, -8, -6, -9, -7, -10, -7, -11, -7, -11, -7, -11, -7, -11, -7, -11, -6, -10, -6, -10, -5, -9, -4, -7, -3, -6, -3, -4, -2, -3, -1, -1, 0, 0, 1,
2, 1, 3, 2, 5, 2, 6, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 2, 6, 2, 5, 1, 4, 1, 3, 1, 2, 0, 1, 0, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -1, 1, -1, 1, 0, 1, 1, 2, 1, 2, 2, 3, 3, 3,
3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 2, 3, 2, 3, 2, 2, 1, 1, 0, 0, 0, -1, -1, -2, -1, -3, -2, -3, -2, -4, -2, -4, -3, -5, -3, -5, -3, -5, -3, -4, -2, -4, -2, -3, -2, -2, -1, -1, -1, 0, 0, 0, 0, 1, 1, 2, 1, 3, 2, 4, 2, 4, 3,
5, 3, 5, 3, 5, 3, 4, 3, 4, 3, 3, 3, 3, 3, 2, 3, 1, 2, 0, 2, -1, 2, -2, 2, -3, 2, -4, 2, -4, 2, -4, 2, -4, 3, -4, 3, -4, 4, -3, 4, -2, 5, -1, 5, 0, 6, 2, 6, 3, 7, 5, 7, 6, 8, 8, 8, 9, 8, 10, 8, 11, 8, 12, 8,
12, 7, 12, 6, 12, 6, 12, 5, 11, 4, 10, 3, 8, 2, 7, 1, 6, -1, 4, -2, 2, -2, 1, -3, -1, -4, -2, -5, -3, -5, -4, -5, -5, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -5, -5, -5, -5, -5, -5, -4, -4, -4, -4, -4, -3, -3, -3, -3, -2, -3, -2, -3, -2, -3,
-2, -3, -2, -3, -2, -3, -3, -3, -3, -4, -4, -4, -4, -4, -4, -4, -5, -4, -5, -4, -5, -4, -5, -4, -5, -4, -5, -4, -4, -3, -3, -3, -3, -2, -2, -1, 0, -1, 1, 0, 2, 1, 3, 2, 5, 2, 6, 3, 7, 4, 8, 4, 8, 5, 9, 5, 9, 6, 9, 6, 9, 6, 8, 6,
7, 5, 6, 5, 5, 5, 4, 4, 3, 4, 2, 4, 1, 3, -1, 3, -1, 2, -2, 2, -3, 2, -3, 2, -3, 2, -3, 2, -3, 2, -2, 2, -1, 2, 0, 3, 1, 3, 2, 3, 3, 3, 4, 3, 5, 4, 6, 4, 7, 4, 8, 4, 8, 3, 8, 3, 8, 3, 8, 2, 7, 1, 6, 1,
5, 0, 4, -1, 2, -2, 1, -2, -1, -3, -2, -4, -4, -4, -5, -4, -6, -5, -7, -5, -8, -5, -9, -5, -9, -4, -9, -4, -9, -3, -9, -3, -8, -2, -7, -1, -6, -1, -5, 0, -4, 1, -3, 1, -2, 2, -1, 3, 0, 3, 1, 3, 1, 3, 2, 4, 2, 4, 3, 3, 3, 3, 3, 3,
2, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 4, 2, 4, 2, 5, 2, 6, 2, 6, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 2, 7, 2, 6, 1, 5, 1, 4, 0, 3, -1, 1, -1, 0, -2, -1, -3,
-3, -3, -4, -4, -6, -5, -7, -5, -8, -6, -9, -6, -9, -6, -10, -6, -10, -6, -10, -6, -9, -6, -8, -5, -7, -5, -6, -4, -5, -3, -4, -3, -2, -2, -1, -1, 0, -1, 2, 0, 3, 0, 4, 1, 4, 1, 5, 1, 5, 1, 5, 2, 5, 1, 4, 1, 4, 1, 3, 1, 2, 1, 1, 1,
1, 1, 0, 0, -1, 0, -2, 1, -2, 1, -2, 1, -2, 1, -2, 2, -2, 2, -1, 3, -1, 4, 0, 4, 1, 5, 2, 6, 4, 6, 5, 7, 6, 8, 7, 8, 8, 8, 9, 9, 9, 9, 10, 9, 10, 9, 10, 8, 10, 8, 9, 7, 9, 7, 8, 6, 7, 5, 6, 4, 5, 4, 4, 3,
3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 2, -1, 2, -1, 2, -1, 3, -1, 3, -1, 2, -1, 2, -2, 2, -2, 1, -3, 0, -3, -1, -4, -2, -4, -3, -5, -5, -5, -6, -6, -7, -6, -8, -6, -9, -7,
-9, -7, -10, -7, -10, -7, -10, -6, -10, -6, -9, -5, -8, -5, -7, -4, -6, -3, -5, -2, -3, -1, -2, 0, 0, 0, 1, 1, 2, 2, 4, 2, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 7, 3, 7, 3, 6, 3, 6, 2, 5, 2, 4, 1, 3, 1, 2, 0, 1, 0, 0, 0, -1, -1,
-1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 1, 1, 0, 0, -1, 0, -2, -1, -2, -1, -3, -2, -4, -2, -5, -3, -5, -3, -6, -3, -6, -3,
-6, -3, -5, -3, -5, -2, -4, -2, -4, -2, -2, -1, -1, 0, 0, 0, 1, 1, 2, 2, 3, 2, 4, 3, 5, 4, 6, 4, 6, 4, 6, 5, 7, 5, 6, 5, 6, 5, 5, 5, 5, 5, 4, 5, 3, 4, 2, 4, 1, 4, 0, 4, -1, 3, -2, 3, -2, 3, -3, 3, -3, 3, -3, 4,
-2, 4, -2, 4, -1, 5, 0, 5, 1, 5, 2, 6, 3, 6, 4, 6, 6, 7, 7, 7, 8, 7, 9, 7, 10, 6, 10, 6, 10, 6, 10, 5, 10, 4, 10, 3, 9, 2, 8, 1, 7, 0, 6, -1, 5, -2, 3, -3, 2, -3, 0, -4, -1, -5, -2, -6, -3, -6, -4, -6, -5, -7, -5, -7,
-6, -7, -6, -7, -6, -7, -5, -6, -5, -6, -5, -6, -4, -5, -4, -5, -4, -4, -3, -4, -3, -4, -3, -4, -3, -4, -3, -3, -3, -4, -3, -4, -3, -4, -4, -4, -4, -4, -5, -4, -5, -4, -6, -5, -6, -5, -6, -5, -6, -5, -6, -5, -6, -4, -6, -4, -5, -3, -4, -3, -3, -2, -2, -2,
-1, -1, 0, 0, 2, 1, 3, 2, 4, 2, 6, 3, 7, 4, 8, 5, 8, 5, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 8, 6, 7, 5, 6, 5, 5, 5, 4, 4, 2, 4, 1, 3, 0, 3, -1, 2, -2, 2, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -2, 1, -1, 1,
0, 2, 1, 2, 2, 2, 3, 2, 4, 3, 5, 3, 6, 3, 6, 3, 7, 3, 7, 3, 7, 3, 7, 2, 7, 2, 6, 1, 5, 1, 4, 0, 3, 0, 2, -1, 0, -1, -1, -2, -2, -2, -3, -3, -4, -3, -5, -3, -6, -3, -7, -3, -7, -2, -7, -2, -7, -1, -6, -1, -6, 0, -5, 0,
-4, 1, -3, 2, -3, 3, -2, 3, -1, 4, 0, 4, 1, 5, 2, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 4, 3, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1,
5, 1, 6, 2, 6, 2, 6, 2, 7, 1, 6, 1, 6, 1, 5, 0, 4, 0, 3, -1, 2, -1, 1, -2, -1, -3, -2, -4, -4, -5, -5, -5, -6, -6, -8, -6, -9, -7, -10, -7, -10, -8, -11, -8, -11, -8, -11, -7, -10, -7, -10, -7, -9, -6, -8, -6, -7, -5, -6, -4, -4, -3, -3, -3,
-2, -2, 0, -1, 1, -1, 2, 0, 3, 0, 3, 1, 3, 1, 4, 1, 4, 1, 3, 1, 3, 1, 3, 1, 2, 1, 1, 1, 1, 1, 0, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 1, -2, 2, -1, 2, -1, 3, 0, 3, 1, 4, 2, 4, 3, 5, 4, 6, 5, 7, 6, 7, 7, 8,
8, 8, 9, 8, 10, 8, 10, 8, 11, 8, 11, 8, 10, 8, 10, 7, 9, 6, 9, 6, 8, 5, 7, 4, 6, 3, 5, 3, 4, 2, 3, 1, 2, 1, 1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 2, -1, 2, 0, 2, 0,
2, 0, 2, 0, 2, -1, 2, -1, 1, -1, 1, -2, 0, -2, -1, -2, -2, -3, -3, -3, -4, -4, -5, -4, -6, -4, -7, -5, -7, -5, -8, -5, -8, -5, -8, -5, -8, -4, -8, -4, -7, -3, -6, -3, -5, -2, -4, -1, -3, -1, -2, 0, 0, 1, 1, 1, 2, 2, 3, 2, 4, 3, 5, 3,
6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 2, 5, 2, 4, 2, 4, 1, 3, 0, 2, 0, 1, -1, 0, -1, -1, -1, -2, -2, -2, -2, -2, -2, -3, -2, -3, -2, -3, -2, -2, -2, -2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1,
2, 1, 2, 0, 1, 0, 0, 0, 0, -1, -1, -1, -2, -2, -3, -2, -4, -3, -5, -3, -6, -4, -6, -4, -7, -4, -7, -4, -7, -4, -7, -4, -7, -4, -6, -4, -6, -3, -5, -2, -3, -2, -2, -1, -1, 0, 0, 1, 1, 1, 3, 2, 4, 3, 5, 4, 6, 4, 6, 5, 7, 5, 7, 6,
7, 6, 7, 6, 7, 6, 6, 6, 5, 6, 5, 6, 4, 5, 3, 5, 2, 5, 1, 5, 1, 5, 0, 4, 0, 4, 0, 4, 0, 4, 0, 5, 0, 5, 1, 5, 2, 5, 3, 6, 4, 6, 5, 6, 6, 6, 6, 6, 7, 6, 8, 6, 9, 6, 9, 6, 10, 6, 10, 5, 10, 4, 9, 4,
9, 3, 8, 2, 7, 1, 6, 0, 4, -1, 3, -2, 2, -2, 0, -3, -1, -4, -2, -4, -3, -5, -4, -5, -4, -6, -5, -6, -5, -6, -6, -6, -6, -5, -5, -5, -5, -5, -5, -4, -4, -4, -4, -4, -4, -3, -3, -3, -3, -2, -3, -2, -2, -2, -2, -2, -2, -2, -3, -2, -3, -2, -3, -2,
-4, -3, -4, -3, -5, -3, -5, -3, -5, -4, -6, -4, -6, -4, -6, -4, -6, -4, -6, -4, -6, -3, -5, -3, -4, -3, -3, -2, -2, -1, -1, -1, 0, 0, 2, 1, 3, 2, 4, 2, 5, 3, 6, 4, 7, 4, 8, 5, 9, 5, 9, 6, 9, 6, 9, 6, 8, 6, 8, 5, 7, 5, 6, 5,
5, 4, 3, 3, 2, 3, 1, 2, 0, 1, -1, 1, -2, 0, -3, 0, -3, -1, -4, -1, -4, -1, -4, -1, -4, -1, -3, -1, -2, -1, -2, -1, -1, -1, 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 1, 5, 1, 5, 1, 5, 0, 5, 0, 5, 0, 4, 0, 4, -1, 3, -1, 2, -1,
1, -2, 0, -2, -1, -2, -2, -3, -3, -3, -4, -3, -5, -3, -5, -3, -6, -2, -6, -2, -6, -2, -5, -1, -5, 0, -4, 0, -3, 1, -2, 2, -2, 3, -1, 3, 1, 4, 2, 5, 3, 5, 3, 5, 4, 6, 5, 6, 5, 6, 5, 6, 6, 5, 6, 5, 5, 5, 5, 4, 5, 4, 4, 3,
4, 3, 3, 2, 3, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 5, 1, 5, 2, 5, 1, 5, 1, 5, 1, 4, 1, 3, 0, 2, 0, 1, -1, 0, -2, -2, -2, -3, -3, -4, -4, -6, -4, -7, -5,
-8, -6, -9, -6, -10, -6, -10, -7, -11, -7, -11, -7, -11, -7, -10, -6, -10, -6, -9, -6, -8, -5, -7, -4, -6, -4, -5, -3, -3, -2, -2, -1, -1, -1, 0, 0, 1, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2,
-1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, 0, 3, 0, 3, 1, 4, 2, 4, 3, 5, 4, 6, 5, 6, 6, 7, 7, 7, 8, 7, 9, 8, 10, 8, 10, 8, 11, 8, 11, 7, 10, 7, 10, 6, 9, 6, 9, 5, 8, 4, 7, 3, 6, 2, 4, 2, 3, 1, 2, 0, 1, -1,
0, -1, -1, -2, -1, -2, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -1, -3, -1, -2, -1, -2, 0, -2, 0, -2, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -2, -1, -2, -1, -2, -2, -2, -3, -3, -4, -3, -4, -3, -5, -3, -5, -3, -6, -3, -6, -3,
-6, -3, -6, -3, -5, -3, -5, -2, -4, -2, -3, -1, -2, 0, -1, 0, 0, 1, 1, 1, 2, 2, 3, 2, 4, 3, 5, 3, 6, 4, 6, 4, 7, 4, 7, 4, 7, 3, 6, 3, 6, 3, 5, 2, 4, 2, 3, 1, 2, 1, 1, 0, 0, 0, -1, -1, -1, -1, -2, -2, -3, -2, -3, -2,
-3, -2, -4, -2, -3, -2, -3, -2, -3, -2, -2, -1, -2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, -1, 0, -1, -1, -2, -1, -3, -2, -4, -2, -5, -3, -6, -3, -6, -4, -7, -4, -7, -4, -8, -4, -7, -4, -7, -4,
-7, -4, -6, -3, -5, -3, -4, -2, -3, -1, -2, 0, 0, 1, 1, 1, 2, 2, 3, 3, 5, 4, 6, 5, 6, 5, 7, 6, 7, 6, 8, 7, 8, 7, 8, 7, 7, 7, 7, 7, 6, 7, 6, 6, 5, 6, 4, 6, 4, 6, 3, 5, 2, 5, 2, 5, 2, 5, 1, 4, 1, 4, 2, 4,
2, 4, 2, 4, 3, 4, 4, 4, 4, 5, 5, 5, 6, 5, 7, 5, 7, 4, 8, 4, 8, 4, 8, 4, 8, 3, 8, 3, 8, 2, 7, 1, 6, 0, 5, 0, 4, -1, 3, -2, 2, -3, 0, -3, -1, -4, -2, -5, -3, -5, -4, -6, -5, -6, -6, -6, -6, -6, -6, -6, -7, -6, -6, -6,
-6, -6, -6, -5, -6, -5, -5, -4, -5, -4, -4, -3, -3, -3, -3, -2, -2, -2, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -3, -2, -3, -2, -3, -2, -4, -2, -4, -3, -5, -3, -5, -3, -5, -3, -5, -3, -5, -3, -4, -3, -4, -2, -3, -2, -2, -2, -1, -1, 0, 0,
1, 0, 2, 1, 3, 2, 4, 3, 5, 3, 6, 4, 7, 5, 7, 5, 8, 6, 8, 6, 8, 6, 8, 6, 7, 6, 6, 5, 6, 5, 5, 5, 4, 4, 3, 3, 1, 3, 0, 2, -1, 1, -2, 1, -2, 0, -3, 0, -4, -1, -4, -1, -4, -1, -4, -2, -3, -2, -3, -2, -2, -2, -2, -1,
-1, -1, 0, -1, 1, -1, 2, 0, 3, 0, 3, 0, 4, 0, 4, 1, 5, 1, 5, 1, 4, 1, 4, 0, 4, 0, 3, 0, 2, 0, 1, 0, 0, -1, -1, -1, -2, -1, -3, -1, -3, -1, -4, -1, -4, -1, -5, -1, -5, -1, -5, 0, -4, 0, -4, 1, -3, 1, -2, 2, -1, 3, 0, 3,
1, 4, 2, 5, 3, 5, 4, 6, 5, 6, 6, 6, 6, 7, 7, 7, 7, 6, 7, 6, 7, 6, 7, 5, 7, 5, 6, 4, 6, 4, 5, 3, 4, 2, 4, 2, 3, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 2, -1, 2, 0, 2, 0,
2, 0, 3, 0, 3, 0, 3, 0, 2, 0, 2, 0, 1, 0, 1, -1, 0, -1, -1, -2, -2, -2, -3, -3, -4, -3, -5, -4, -7, -5, -8, -5, -8, -6, -9, -6, -10, -6, -10, -7, -10, -7, -10, -7, -10, -6, -10, -6, -9, -6, -8, -5, -7, -5, -6, -4, -5, -3, -4, -2, -3, -2, -2, -1,
0, 0, 1, 0, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 1, 2, 1, 2, 0, 2, 0, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, 0, 3, 1, 3, 1, 4, 2, 4, 3, 5, 5, 5, 6, 6, 7, 6, 8, 6, 9, 7,
9, 7, 10, 7, 11, 7, 11, 7, 11, 7, 10, 6, 10, 6, 9, 5, 8, 4, 7, 4, 6, 3, 5, 2, 4, 1, 3, 0, 2, 0, 0, -1, 0, -2, -1, -2, -2, -3, -2, -3, -3, -3, -3, -3, -3, -3, -3, -3, -2, -3, -2, -3, -2, -2, -1, -2, -1, -2, 0, -1, 1, -1, 1, -1,
1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -3, -2, -3, -2, -4, -2, -4, -2, -4, -2, -4, -2, -4, -1, -3, -1, -3, -1, -2, 0, -1, 0, 0, 1, 1, 1, 2, 1, 3, 2, 3, 2, 4, 3, 5, 3, 6, 3, 6, 3,
6, 3, 6, 3, 6, 3, 6, 2, 5, 2, 4, 1, 4, 1, 3, 0, 2, 0, 0, -1, -1, -1, -2, -2, -3, -2, -3, -3, -4, -3, -5, -3, -5, -3, -5, -3, -5, -3, -5, -3, -5, -3, -5, -2, -4, -2, -3, -2, -3, -1, -2, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 1, 1,
0, 1, 0, 0, 0, 0, -1, 0, -1, -1, -2, -1, -3, -2, -4, -2, -5, -3, -6, -3, -6, -4, -7, -4, -7, -4, -8, -4, -8, -4, -7, -4, -7, -3, -6, -3, -6, -2, -4, -2, -3, -1, -2, 0, 0, 1, 1, 2, 3, 3, 4, 3, 5, 4, 7, 5, 8, 6, 9, 7, 9, 7, 10, 7,
10, 8, 10, 8, 10, 8, 10, 8, 9, 7, 8, 7, 7, 7, 6, 6, 5, 6, 5, 6, 4, 5, 3, 5, 2, 5, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 5, 4, 6, 4, 6, 4, 7, 4, 8, 4, 8, 3, 8, 3, 8, 3, 8, 2, 7, 2, 7, 1,
6, 0, 5, 0, 3, -1, 2, -2, 1, -3, -1, -3, -2, -4, -4, -4, -5, -5, -6, -5, -7, -5, -8, -5, -8, -5, -8, -5, -8, -5, -8, -5, -8, -4, -7, -4, -6, -3, -5, -3, -4, -2, -3, -2, -2, -1, -1, -1, 0, -1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, -1,
1, -1, 0, -1, 0, -2, -1, -2, -2, -2, -3, -3, -3, -3, -4, -3, -4, -3, -5, -3, -4, -2, -4, -2, -4, -2, -3, -1, -2, 0, -1, 0, 0, 1, 1, 2, 2, 3, 4, 3, 5, 4, 6, 4, 7, 5, 8, 5, 8, 6, 8, 6, 8, 6, 8, 5, 7, 5, 6, 5, 5, 4, 4, 3,
2, 3, 1, 2, -1, 1, -2, 1, -4, 0, -5, -1, -6, -1, -7, -2, -7, -2, -7, -2, -7, -2, -7, -2, -6, -2, -5, -2, -4, -2, -3, -2, -1, -2, 0, -2, 1, -1, 3, -1, 4, -1, 6, -1, 7, -1, 7, -1, 8, -1, 8, -1, 8, -1, 7, -2, 6, -2, 5, -2, 4, -2, 3, -2,
1, -2, 0, -2, -1, -2, -2, -2, -3, -2, -4, -2, -5, -1, -5, -1, -5, 0, -5, 1, -4, 1, -3, 2, -2, 3, -1, 4, 1, 4, 2, 5, 4, 5, 5, 6, 7, 6, 8, 7, 9, 7, 10, 7, 11, 7, 11, 6, 11, 6, 11, 6, 10, 5, 9, 5, 8, 4, 7, 3, 5, 3, 4, 2,
2, 2, 1, 2, 0, 1, -2, 1, -2, 1, -3, 1, -4, 1, -4, 1, -4, 1, -4, 1, -3, 1, -2, 1, -1, 1, 0, 1, 0, 1, 1, 1, 3, 0, 3, 0, 4, 0, 4, 0, 4, -1, 4, -2, 4, -2, 3, -3, 2, -3, 1, -4, 0, -5, -2, -5, -3, -5, -5, -6, -7, -6, -8, -6,
-9, -6, -10, -6, -10, -6, -11, -6, -11, -5, -11, -5, -10, -4, -10, -4, -8, -3, -7, -3, -5, -2, -4, -2, -2, -1, -1, -1, 1, 0, 3, 0, 4, 1, 5, 1, 6, 1, 7, 2, 7, 2, 7, 2, 6, 2, 6, 2, 5, 2, 3, 2, 2, 2, 1, 2, -1, 2, -2, 3, -3, 3, -4, 3,
-5, 4, -5, 4, -5, 5, -5, 5, -5, 5, -4, 6, -3, 6, -2, 6, 0, 7, 1, 7, 3, 7, 4, 7, 6, 7, 8, 7, 9, 6, 11, 6, 12, 6, 12, 5, 13, 4, 13, 4, 13, 3, 12, 2, 11, 1, 10, 1, 8, 0, 7, 0, 5, -1, 3, -2, 2, -2, 0, -3, -1, -3, -2, -3,
-4, -3, -4, -3, -5, -3, -5, -3, -5, -3, -4, -3, -4, -3, -3, -3, -2, -3, -1, -3, 1, -3, 2, -3, 3, -3, 4, -3, 5, -3, 6, -3, 6, -3, 6, -3, 6, -3, 5, -3, 5, -3, 4, -3, 3, -2, 1, -2, 0, -2, -1, -1, -2, -1, -4, -1, -4, 0, -5, 1, -6, 1, -6, 2,
-6, 2, -6, 3, -6, 3, -5, 4, -4, 5, -2, 5, -1, 5, 0, 5, 2, 5, 3, 5, 5, 5, 7, 5, 8, 4, 9, 4, 9, 3, 9, 3, 9, 2, 9, 1, 8, 1, 7, 0, 5, 0, 4, 0, 2, -1, 1, -1, -1, -1, -2, -1, -4, -2, -5, -1, -6, -1, -7, -1, -7, -1, -7, -1,
-7, -1, -7, -1, -6, -1, -5, -1, -4, -1, -3, -1, -2, -1, -1, -1, 0, -1, 2, -2, 3, -2, 3, -2, 4, -2, 4, -2, 4, -3, 4, -3, 3, -3, 3, -4, 2, -4, 0, -4, -1, -4, -3, -4, -4, -4, -5, -4, -7, -4, -8, -4, -9, -3, -9, -3, -10, -2, -10, -2, -10, -1, -9, 0,
-8, 0, -7, 1, -5, 2, -3, 2, -2, 3, 0, 3, 2, 3, 4, 4, 5, 4, 7, 5, 8, 5, 9, 6, 10, 6, 10, 6, 11, 6, 11, 6, 10, 7, 10, 7, 9, 7, 8, 7, 7, 7, 5, 7, 4, 7, 3, 7, 2, 7, 1, 7, 0, 7, 0, 7, -1, 7, -1, 7, -1, 6, 0, 6,
1, 6, 2, 5, 3, 5, 4, 4, 5, 3, 6, 2, 8, 2, 9, 1, 10, 0, 10, -1, 10, -2, 10, -2, 10, -3, 9, -4, 8, -5, 7, -5, 6, -5, 4, -6, 2, -6, 0, -6, -2, -6, -3, -6, -5, -6, -6, -5, -7, -5, -8, -5, -9, -4, -9, -4, -9, -4, -9, -3, -8, -3, -7, -3,
-6, -2, -5, -2, -4, -2, -3, -2, -2, -2, 0, -2, 1, -2, 2, -1, 2, -1, 3, -1, 3, -2, 4, -2, 4, -2, 3, -2, 3, -1, 2, -1, 1, -1, -1, -1, -2, 0, -3, 0, -4, 0, -4, 1, -5, 2, -5, 2, -5, 2, -5, 3, -5, 3, -4, 3, -3, 4, -2, 4, -1, 4, 0, 4,
1, 4, 3, 4, 4, 4, 6, 4, 7, 4, 8, 4, 8, 4, 9, 4, 9, 3, 9, 3, 8, 3, 8, 2, 7, 2, 6, 2, 4, 1, 3, 1, 1, 1, 0, 0, -2, 0, -3, 0, -4, 0, -5, -1, -6, -1, -6, -1, -7, -1, -7, -2, -6, -2, -6, -2, -5, -2, -4, -2, -3, -2, -2, -3,
0, -3, 1, -3, 3, -3, 4, -3, 5, -3, 6, -4, 7, -4, 7, -4, 7, -4, 7, -4, 6, -4, 6, -3, 4, -3, 3, -2, 2, -2, 0, -1, -1, -1, -2, 0, -3, 1, -4, 2, -5, 2, -5, 3, -6, 4, -6, 4, -6, 5, -5, 5, -4, 6, -3, 6, -2, 6, -1, 7, 1, 7, 2, 7,
4, 7, 6, 7, 7, 7, 8, 6, 9, 6, 10, 5, 11, 5, 11, 4, 11, 4, 10, 4, 9, 3, 8, 3, 7, 3, 5, 3, 4, 3, 3, 3, 1, 2, 0, 2, -1, 2, -2, 2, -2, 2, -3, 2, -3, 1, -3, 1, -3, 1, -2, 0, -2, 0, -1, -1, -1, -1, 0, -2, 1, -2, 2, -3,
3, -3, 3, -4, 3, -5, 3, -5, 3, -5, 3, -6, 2, -6, 1, -6, 1, -6, -1, -6, -2, -6, -3, -6, -4, -6, -6, -6, -7, -5, -8, -5, -9, -5, -9, -4, -10, -4, -10, -4, -10, -3, -10, -3, -9, -2, -8, -2, -7, -1, -6, -1, -5, -1, -3, -1, -2, 0, 0, 0, 1, 0, 3, 0,
4, 1, 4, 1, 5, 1, 5, 1, 5, 2, 5, 2, 5, 2, 4, 3, 4, 3, 3, 4, 2, 4, 1, 5, 0, 5, -1, 5, -2, 6, -2, 6, -3, 6, -3, 6, -3, 6, -3, 6, -3, 6, -2, 7, -1, 7, 0, 7, 1, 6, 2, 6, 4, 5, 5, 5, 7, 5, 9, 4, 10, 4, 11, 3,
11, 2, 12, 2, 12, 1, 12, 1, 12, 0, 11, 0, 10, 0, 9, -1, 8, -1, 6, -1, 4, -2, 3, -2, 1, -2, 0, -2, -1, -2, -3, -2, -4, -2, -4, -2, -5, -2, -5, -2, -4, -2, -4, -2, -3, -3, -3, -3, -2, -3, -1, -4, 0, -4, 1, -4, 2, -4, 2, -4, 3, -4, 3, -4,
3, -3, 4, -3, 4, -3, 3, -2, 3, -2, 2, -1, 1, -1, 0, 0, -1, 0, -2, 1, -3, 2, -3, 2, -4, 3, -5, 4, -5, 4, -6, 5, -6, 5, -5, 5, -4, 5, -4, 6, -3, 5, -2, 5, -1, 4, 1, 4, 2, 3, 3, 3, 5, 2, 6, 2, 6, 1, 7, 1, 7, 0, 7, 0,
7, 0, 7, 0, 6, -1, 5, -1, 4, -1, 3, -1, 2, -1, 1, -1, -1, -1, -2, -1, -3, -1, -4, -1, -4, -1, -5, -1, -6, -2, -6, -2, -6, -2, -6, -2, -5, -2, -5, -2, -4, -3, -4, -3, -3, -3, -2, -4, -1, -4, 0, -4, 1, -4, 1, -4, 1, -4, 2, -5, 2, -5, 2, -5,
2, -5, 1, -4, 0, -4, -1, -4, -2, -4, -3, -3, -4, -3, -5, -2, -6, -2, -7, -1, -7, 0, -8, 0, -8, 0, -8, 1, -8, 1, -7, 2, -6, 2, -5, 2, -4, 3, -3, 3, -1, 3, 0, 3, 2, 3, 3, 4, 5, 4, 6, 5, 7, 5, 8, 5, 9, 5, 9, 6, 10, 6, 10, 6,
10, 6, 9, 7, 9, 7, 8, 7, 7, 7, 6, 7, 5, 8, 4, 8, 3, 8, 2, 8, 2, 8, 1, 8, 1, 7, 1, 7, 1, 6, 2, 5, 2, 5, 3, 4, 3, 3, 4, 2, 5, 1, 6, 0, 7, -1, 8, -2, 8, -3, 8, -3, 8, -4, 8, -4, 8, -5, 7, -5, 6, -5, 5, -5,
4, -5, 2, -5, 1, -5, -1, -4, -2, -4, -3, -3, -4, -3, -5, -3, -6, -2, -7, -2, -8, -2, -8, -2, -8, -2, -8, -1, -8, -1, -7, -1, -7, -1, -6, -2, -5, -2, -4, -2, -3, -2, -2, -2, -1, -2, 0, -2, 0, -2, 1, -2, 1, -2, 2, -1, 2, -1, 1, -1, 1, 0, 0, 0,
0, 1, -1, 1, -1, 2, -2, 2, -2, 3, -2, 3, -3, 4, -3, 4, -3, 4, -3, 4, -3, 4, -2, 4, -1, 4, -1, 4, 0, 3, 1, 3, 1, 3, 2, 2, 3, 2, 4, 2, 5, 2, 6, 1, 6, 1, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 5, 0, 4, 0, 3, 0, 2, 0,
1, -1, 0, -1, -1, -1, -2, 0, -3, 0, -4, 0, -5, -1, -5, -1, -6, -1, -5, -1, -5, -2, -4, -2, -4, -2, -3, -3, -2, -3, -1, -4, 0, -4, 1, -4, 2, -4, 3, -5, 4, -5, 4, -5, 5, -5, 5, -5, 5, -4, 5, -4, 4, -3, 4, -2, 3, -1, 2, -1, 1, 0, 0, 1,
0, 2, -1, 2, -2, 3, -3, 4, -3, 4, -4, 5, -4, 5, -4, 6, -4, 6, -3, 6, -2, 7, -2, 6, -1, 6, 0, 6, 2, 5, 3, 5, 4, 5, 6, 4, 7, 4, 7, 3, 8, 3, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 8, 2, 7, 3, 6, 3, 5, 3, 4, 3, 3, 3,
2, 3, 1, 3, 1, 3, 0, 3, -1, 2, -1, 2, -2, 1, -2, 1, -2, 0, -2, 0, -2, -1, -1, -2, -1, -3, -1, -3, 0, -4, 0, -4, 0, -5, 0, -5, 0, -6, 0, -6, 0, -6, 0, -6, 0, -6, -1, -6, -1, -5, -2, -5, -3, -5, -4, -4, -5, -4, -6, -3, -6, -3, -7, -2,
-8, -1, -8, -1, -8, -1, -9, 0, -8, 0, -8, 0, -7, 1, -6, 1, -6, 1, -5, 0, -4, 0, -3, 0, -2, 0, -1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 1, 4, 1, 4, 2, 3, 2, 3, 3, 3, 3, 2, 4, 2, 4, 1, 4, 0, 5, 0, 5, -1, 6, -1, 6,
-1, 6, -2, 6, -2, 6, -2, 6, -1, 6, 0, 6, 0, 5, 1, 5, 2, 4, 3, 3, 4, 3, 5, 2, 6, 1, 7, 1, 8, 0, 8, 0, 9, -1, 9, -1, 9, -2, 9, -2, 9, -2, 8, -2, 7, -2, 6, -1, 5, -1, 4, -1, 3, -1, 2, -1, 1, 0, 0, 0, -1, 0, -2, 0,
-2, 0, -3, -1, -3, -1, -3, -1, -3, -1, -2, -2, -2, -2, -2, -3, -2, -3, -1, -3, 0, -4, 0, -4, 1, -4, 1, -4, 2, -4, 2, -4, 2, -3, 2, -3, 2, -2, 2, -2, 2, -1, 1, 0, 1, 0, 0, 1, -1, 2, -1, 3, -2, 4, -2, 5, -3, 5, -3, 6, -3, 6, -3, 6,
-3, 6, -3, 6, -2, 6, -1, 5, -1, 5, 0, 4, 1, 3, 1, 2, 2, 2, 3, 1, 4, 1, 4, 0, 5, 0, 5, -1, 5, -1, 5, -2, 5, -2, 5, -2, 5, -2, 4, -1, 3, -1, 2, -1, 1, -1, 1, -1, 0, -1, -1, 0, -2, 0, -2, 0, -3, 0, -4, 0, -4, 0, -4, 0,
-4, 0, -4, 0, -4, -1, -4, -1, -4, -2, -4, -2, -3, -3, -2, -3, -2, -3, -1, -4, -1, -4, -1, -4, -1, -5, 0, -5, 0, -5, -1, -4, -1, -4, -1, -3, -2, -3, -3, -2, -3, -2, -4, -1, -4, 0, -5, 0, -5, 1, -5, 2, -5, 2, -6, 2, -6, 3, -5, 3, -5, 3, -4, 3,
-4, 3, -3, 3, -2, 3, -1, 3, 0, 3, 1, 3, 2, 3, 3, 3, 4, 3, 5, 3, 5, 2, 6, 2, 7, 3, 7, 3, 7, 3, 7, 3, 7, 4, 6, 4, 6, 5, 5, 5, 4, 6, 4, 6, 3, 7, 3, 7, 2, 7, 2, 7, 2, 7, 1, 6, 1, 6, 2, 5, 2, 4, 2, 4,
3, 3, 3, 1, 4, 0, 4, -1, 5, -2, 6, -3, 6, -3, 6, -4, 6, -5, 6, -5, 6, -6, 6, -6, 5, -6, 4, -6, 4, -5, 3, -5, 2, -4, 1, -4, 0, -3, -1, -3, -2, -2, -3, -2, -4, -1, -5, -1, -5, -1, -6, 0, -7, 0, -7, 0, -7, 0, -7, 0, -6, 0, -6, 0,
-6, -1, -5, -1, -4, -2, -4, -2, -3, -2, -2, -2, -2, -3, -1, -3, -1, -3, 0, -3, 0, -2, 0, -2, 1, -1, 1, -1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 1, 4, 2, 3, 2, 2,
3, 2, 3, 1, 4, 1, 4, 0, 4, 0, 4, -1, 4, -1, 4, -1, 4, -2, 4, -2, 4, -1, 3, -1, 3, -1, 2, -1, 1, 0, 0, 0, -1, 0, -1, 1, -2, 1, -2, 1, -3, 2, -4, 2, -4, 1, -4, 1, -4, 1, -3, 1, -3, 1, -2, 0, -2, -1, -1, -1, -1, -2, 0, -3,
1, -3, 1, -3, 2, -4, 2, -4, 2, -4, 3, -4, 3, -4, 3, -4, 3, -3, 2, -3, 2, -2, 2, -1, 1, 0, 0, 0, 0, 1, -1, 2, -1, 3, -2, 4, -2, 5, -3, 5, -3, 6, -4, 6, -3, 6, -3, 6, -3, 6, -2, 6, -1, 6, -1, 5, 0, 4, 1, 4, 2, 3, 3, 2,
4, 2, 4, 1, 5, 1, 5, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 1, 6, 1, 5, 1, 5, 1, 4, 2, 4, 2, 3, 2, 3, 3, 2, 3, 2, 3, 1, 3, 0, 3, 0, 2, 0, 2, 0, 2, -1, 1, -1, 0, -1, 0, -1, -1, -1, -2, -1, -3, -1, -4, -1, -4, -1, -5,
-1, -6, -2, -6, -2, -6, -2, -7, -2, -7, -2, -6, -2, -6, -3, -6, -3, -5, -4, -5, -5, -4, -5, -3, -6, -3, -6, -2, -6, -1, -6, 0, -7, 1, -7, 1, -7, 1, -6, 2, -6, 2, -5, 2, -4, 2, -4, 1, -3, 1, -3, 1, -2, 0, -1, 0, 0, 0, 0, 0, 1, -1, 2, -1,
2, -1, 2, -1, 3, -1, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 2, 3, 2, 3, 1, 4, 1, 5, 1, 6, 1, 6, 1, 7, 0, 7, 0, 7, 1, 7, 1, 7, 1, 6, 2, 6, 2, 5, 3, 4, 3, 3, 4, 2, 5, 2, 5, 1, 6, 0, 6, 0, 7, -1, 7, -2,
7, -2, 7, -2, 7, -2, 6, -2, 6, -2, 5, -1, 4, -1, 4, -1, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, -1, 2, -1, 1, -1, 1, -2, 1, -2, 1, -2, 0, -2, 0, -2, -1, -2, -1, -2, -2, -1, -3, -1, -3, 0, -3, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4,
0, -4, 0, -4, 0, -3, 0, -2, -1, -1, -1, -1, -2, 0, -2, 1, -2, 2, -2, 3, -2, 4, -2, 5, -2, 5, -2, 6, -2, 6, -2, 6, -1, 6, -1, 5, 0, 5, 0, 4, 1, 3, 1, 3, 2, 2, 2, 1, 3, 0, 4, 0, 4, -1, 4, -2, 4, -2, 4, -3, 4, -3, 4, -3,
4, -3, 4, -3, 3, -3, 3, -2, 2, -2, 1, -1, 1, -1, 0, -1, -1, 0, -1, 0, -2, 1, -3, 1, -3, 1, -4, 1, -4, 1, -4, 1, -4, 0, -4, 0, -4, -1, -4, -1, -4, -2, -4, -3, -3, -3, -3, -4, -3, -4, -3, -5, -3, -5, -3, -5, -2, -5, -2, -5, -2, -5, -3, -4,
-3, -4, -3, -3, -3, -2, -3, -1, -3, -1, -3, 0, -3, 1, -3, 2, -3, 2, -3, 3, -3, 3, -3, 4, -2, 4, -2, 4, -1, 4, -1, 4, 0, 4, 0, 4, 1, 4, 2, 3, 2, 3, 3, 2, 4, 2, 4, 2, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 2, 5, 3,
4, 3, 4, 4, 4, 5, 3, 5, 3, 6, 3, 7, 3, 7, 2, 7, 2, 7, 2, 7, 2, 7, 2, 7, 3, 6, 3, 5, 3, 5, 3, 3, 4, 2, 4, 1, 4, 0, 5, -1, 5, -2, 5, -3, 5, -4, 5, -4, 4, -5, 4, -5, 4, -5, 3, -5, 3, -5, 2, -5, 1, -5, 1, -4,
0, -4, -1, -3, -2, -2, -3, -2, -3, -1, -4, 0, -5, 0, -6, 0, -6, 1, -6, 1, -6, 1, -6, 1, -6, 1, -6, 1, -6, 0, -5, 0, -5, -1, -4, -2, -4, -2, -3, -2, -3, -3, -2, -3, -2, -3, -1, -3, -1, -3, 0, -3, 0, -2, 0, -2, 0, -1, 1, 0, 1, 0, 1, 1,
1, 2, 1, 3, 2, 3, 2, 4, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 3, 5, 3, 5, 3, 4, 3, 3, 3, 2, 3, 2, 3, 1, 4, 0, 3, -1, 3, -2, 3, -2, 3, -3, 2, -3, 2, -3, 2, -3, 1, -3, 1, -3, 0, -3, -1, -2, -1, -2, -2, -1, -2, 0,
-3, 0, -3, 1, -3, 1, -3, 2, -3, 2, -3, 2, -3, 2, -2, 2, -2, 2, -2, 1, -1, 1, -1, 0, 0, -1, 0, -1, 1, -2, 1, -3, 2, -3, 2, -3, 2, -4, 2, -4, 2, -4, 2, -4, 2, -4, 2, -4, 2, -3, 1, -3, 1, -2, 0, -1, 0, 0, 0, 1, -1, 2, -1, 3,
-1, 4, -2, 5, -2, 5, -2, 6, -2, 6, -2, 6, -1, 7, -1, 6, 0, 6, 0, 5, 0, 5, 1, 4, 2, 3, 2, 3, 3, 2, 3, 1, 4, 1, 4, 0, 4, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 4, 1, 4, 1, 4, 2, 3, 2, 3, 3, 3, 3, 2, 3,
2, 4, 1, 4, 1, 3, 1, 3, 0, 3, 0, 3, 0, 2, -1, 1, -1, 0, -1, -1, -2, -2, -2, -3, -2, -3, -2, -4, -2, -5, -2, -6, -3, -6, -3, -7, -3, -7, -4, -7, -4, -7, -4, -7, -5, -6, -5, -5, -5, -5, -6, -4, -6, -3, -6, -2, -6, -1, -6, 0, -6, 1, -5, 1,
-5, 2, -5, 2, -4, 3, -4, 3, -3, 3, -2, 3, -2, 2, -1, 2, -1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 3, -1, 3, -1, 3, -1, 3, -1, 3, -1, 3, -1, 3, 0, 3, 0, 3, 1, 2, 1, 2, 2, 2, 3, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 6,
1, 6, 1, 6, 1, 6, 1, 6, 2, 5, 2, 4, 2, 3, 3, 2, 3, 2, 3, 1, 4, 0, 4, -1, 4, -2, 4, -2, 4, -3, 4, -3, 4, -3, 4, -3, 3, -3, 3, -3, 3, -2, 2, -2, 2, -1, 2, -1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2,
0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -2, 0, -3, 0, -3, 0, -4, 0, -4, 0, -5, 0, -5, 0, -5, 0, -5, -1, -4, -1, -3, -1, -3, -1, -2, -2, -1, -2, 0, -2, 1, -2, 2, -2, 4, -2, 4, -1, 5, -1, 6, -1, 6, -1, 6, 0, 7, 0, 7,
1, 6, 1, 6, 2, 5, 2, 5, 3, 4, 3, 3, 4, 2, 4, 1, 5, 0, 5, 0, 4, -1, 4, -2, 4, -2, 4, -3, 4, -3, 3, -3, 3, -3, 2, -3, 2, -2, 1, -2, 0, -2, 0, -1, -1, 0, -1, 0, -2, 1, -3, 1, -3, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1,
-4, 0, -4, 0, -4, -1, -4, -2, -4, -3, -3, -3, -3, -4, -3, -4, -3, -5, -3, -5, -3, -5, -3, -5, -3, -5, -3, -4, -3, -4, -3, -3, -2, -2, -2, -2, -2, -1, -2, 0, -2, 1, -2, 2, -2, 3, -1, 3, -1, 4, -1, 5, -1, 5, 0, 5, 0, 6, 1, 6, 1, 5, 1, 5,
2, 4, 2, 4, 3, 3, 3, 2, 3, 2, 3, 1, 3, 0, 3, 0, 3, 0, 3, -1, 3, -1, 3, -1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 3, 1, 3, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 6, 1, 6, 2, 6, 2, 5, 3, 5, 3, 4, 3, 3, 3, 2,
4, 1, 4, 0, 4, -1, 4, -2, 4, -3, 4, -4, 4, -5, 3, -5, 3, -6, 3, -6, 2, -6, 1, -6, 1, -6, 0, -6, -1, -5, -1, -5, -2, -4, -3, -3, -3, -2, -4, -1, -4, -1, -5, 0, -5, 0, -5, 1, -5, 1, -5, 1, -5, 1, -5, 1, -4, 1, -4, 0, -4, 0, -3, -1,
-3, -1, -2, -2, -2, -2, -1, -2, -1, -2, 0, -2, 0, -2, 1, -2, 1, -2, 1, -2, 2, -1, 2, 0, 2, 0, 2, 1, 3, 2, 3, 2, 3, 3, 3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 5, 4, 4, 4, 3, 4, 2, 4, 1, 3, 0,
3, -1, 3, -2, 2, -2, 2, -3, 1, -4, 1, -4, 0, -4, 0, -4, -1, -4, -1, -4, -2, -3, -2, -3, -3, -2, -3, -1, -3, 0, -3, 0, -3, 1, -3, 2, -3, 2, -3, 3, -3, 3, -2, 3, -2, 3, -1, 3, -1, 3, 0, 2, 0, 1, 0, 1, 1, 0, 1, -1, 2, -1, 2, -2,
2, -2, 2, -3, 2, -3, 2, -4, 2, -4, 2, -4, 2, -3, 1, -3, 1, -2, 0, -2, 0, -1, -1, 0, -1, 1, -1, 2, -1, 3, -2, 4, -2, 5, -2, 5, -2, 6, -2, 6, -1, 6, -1, 6, -1, 6, 0, 6, 0, 5, 0, 4, 1, 4, 1, 3, 2, 2, 2, 2, 2, 1, 3, 0,
3, 0, 3, -1, 3, -1, 3, -1, 3, -1, 3, -1, 3, -1, 3, -1, 3, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 3, 0, 3, 0, 3, 0, 3, 0, 2, 0, 2, -1, 1, -1, 1, -1, 0, -1, -1, -1, -2, -1, -3, -1, -4, -2, -5, -2, -6, -2, -6, -3, -7,
-3, -7, -3, -7, -4, -7, -4, -7, -5, -7, -5, -6, -5, -5, -5, -4, -5, -4, -5, -3, -5, -2, -5, 0, -5, 1, -4, 1, -4, 2, -3, 3, -3, 3, -2, 3, -1, 4, -1, 4, 0, 4, 0, 4, 1, 3, 2, 3, 2, 2, 3, 2, 4, 1, 4, 1, 4, 0, 4, 0, 4, -1, 4, -1,
4, -1, 4, -1, 4, -1, 4, 0, 3, 0, 3, 1, 2, 1, 2, 2, 1, 3, 1, 4, 1, 4, 1, 5, 0, 5, 0, 6, 0, 6, 0, 6, 0, 6, 1, 5, 1, 5, 1, 4, 1, 3, 1, 3, 2, 2, 2, 1, 2, 0, 2, -1, 2, -1, 2, -2, 2, -3, 2, -3, 2, -3, 2, -3,
2, -3, 2, -3, 2, -3, 2, -2, 1, -2, 1, -1, 1, -1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 3, 1, 2, 1, 1, 1, 1, 1, 0, 1, -1, 1, -2, 1, -2, 1, -3, 0, -4, 0, -4, 0, -4, -1, -5, -1, -5, -1, -4, -2, -4,
-2, -3, -2, -2, -2, -2, -2, -1, -2, 0, -2, 1, -2, 2, -2, 3, -2, 4, -2, 5, -2, 5, -1, 6, -1, 6, 0, 6, 1, 6, 1, 6, 2, 6, 2, 5, 3, 5, 3, 4, 4, 3, 4, 2, 4, 1, 5, 0, 4, -1, 4, -2, 4, -2, 4, -3, 4, -3, 3, -4, 3, -4, 2, -4,
1, -4, 1, -3, 0, -3, -1, -3, -1, -2, -2, -1, -3, -1, -3, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, -1, -4, -1, -4, -2, -3, -2, -3, -3, -3, -3, -3, -4, -2, -4, -2, -4, -2, -5, -2, -5, -2, -4, -1, -4, -1, -4, -1, -3, -1, -2, -1, -2,
-1, -1, -1, 0, -1, 1, -1, 2, 0, 3, 0, 4, 0, 5, 0, 5, 0, 6, 1, 6, 1, 6, 1, 7, 2, 6, 2, 6, 2, 5, 2, 5, 3, 4, 3, 3, 3, 2, 3, 1, 3, 1, 3, 0, 3, 0, 2, -1, 2, -1, 2, -1, 2, -1, 1, -1, 1, 0, 1, 0, 0, 1, 0, 1,
0, 2, 0, 3, 0, 3, 0, 4, 0, 5, 0, 5, 0, 5, 1, 6, 1, 6, 2, 5, 2, 5, 2, 5, 3, 4, 3, 3, 3, 2, 3, 1, 4, 0, 4, -1, 4, -2, 4, -3, 4, -4, 3, -4, 3, -5, 3, -6, 2, -6, 2, -6, 1, -6, 0, -6, -1, -5, -2, -5, -2, -4, -3, -3,
-4, -3, -4, -2, -4, -1, -5, 0, -5, 0, -5, 1, -5, 1, -5, 1, -5, 2, -4, 2, -4, 1, -4, 1, -3, 1, -3, 0, -2, 0, -2, 0, -1, -1, -1, -1, 0, -1, 0, -1, 1, -2, 1, -2, 1, -2, 2, -1, 2, -1, 2, -1, 2, 0, 2, 1, 2, 1, 3, 2, 3, 3, 3, 3,
3, 4, 3, 5, 3, 5, 3, 6, 3, 6, 3, 6, 3, 5, 4, 5, 4, 4, 3, 4, 3, 3, 3, 2, 3, 1, 3, 0, 3, -1, 3, -2, 2, -3, 2, -4, 1, -4, 1, -5, 0, -5, 0, -5, -1, -5, -1, -5, -2, -5, -3, -4, -3, -3, -3, -3, -3, -2, -4, -1, -4, 0, -3, 1,
-3, 1, -3, 2, -3, 2, -3, 3, -2, 3, -2, 3, -1, 3, -1, 3, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, -1, 3, -1, 3, -2, 3, -2, 3, -3, 3, -3, 2, -3, 2, -3, 2, -3, 1, -2, 1, -2, 0, -1, 0, 0, 0, 1, -1, 1, -1, 2, -1, 3, -1, 4, -1, 5,
-2, 5, -2, 6, -1, 6, -1, 6, -1, 6, 0, 6, 0, 5, 0, 5, 0, 4, 1, 4, 1, 3, 2, 2, 2, 2, 2, 1, 3, 0, 3, 0, 3, -1, 3, -1, 3, -1, 3, -1, 3, -1, 2, -1, 2, -1, 2, -1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2,
-1, 2, -1, 2, -1, 2, -1, 2, -1, 1, -1, 1, -1, 0, -1, -1, -1, -2, -1, -3, -1, -4, -1, -5, -2, -5, -2, -6, -3, -7, -3, -7, -3, -7, -4, -7, -4, -6, -4, -6, -5, -5, -5, -5, -5, -4, -5, -3, -5, -2, -5, -1, -5, 0, -4, 1, -4, 2, -4, 3, -3, 3, -3, 4,
-2, 4, -1, 4, 0, 5, 0, 4, 1, 4, 2, 4, 3, 3, 3, 3, 4, 2, 5, 1, 5, 1, 5, 0, 5, 0, 5, -1, 5, -1, 5, -1, 5, -1, 4, -1, 4, 0, 3, 0, 3, 0, 2, 1, 2, 2, 1, 2, 1, 3, 0, 3, 0, 4, 0, 4, -1, 4, -1, 4, -1, 4, 0, 4,
0, 4, 0, 3, 0, 3, 0, 2, 0, 1, 0, 0, 1, -1, 1, -1, 1, -2, 1, -3, 1, -3, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -3, 1, -3, 1, -2, 0, -1, 0, -1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 1, 3,
1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, -1, 1, -2, 1, -2, 1, -3, 1, -3, 0, -3, 0, -4, 0, -3, 0, -3, -1, -3, -1, -2, -1, -2, -2, -1, -2, 0, -2, 1, -2, 1, -2, 2, -2, 3, -2, 4, -2, 5, -1, 5, -1, 6, 0, 6, 0, 7, 1, 6, 2, 6, 2, 6,
3, 5, 3, 4, 4, 4, 4, 3, 5, 2, 5, 1, 5, 0, 5, -1, 5, -2, 5, -2, 4, -3, 4, -3, 3, -3, 2, -4, 2, -3, 1, -3, 0, -3, -1, -3, -2, -2, -2, -2, -3, -1, -3, -1, -4, -1, -4, 0, -5, 0, -5, 0, -5, 0, -5, 0, -5, 0, -4, 0, -4, -1, -4, -1,
-4, -2, -3, -2, -3, -3, -3, -3, -2, -3, -2, -3, -2, -4, -1, -4, -1, -4, -1, -3, -1, -3, 0, -3, 0, -2, 0, -1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 6, 1, 7, 1, 7, 1, 7, 2, 6, 2, 6, 2, 5, 2, 5, 3, 4, 3, 3,
3, 2, 3, 1, 3, 1, 3, 0, 3, -1, 2, -1, 2, -2, 2, -2, 2, -2, 1, -2, 1, -2, 0, -1, 0, -1, 0, 0, -1, 0, -1, 1, -1, 1, -1, 2, -1, 3, -1, 3, -1, 4, -1, 4, -1, 4, -1, 4, 0, 4, 0, 4, 1, 3, 1, 3, 1, 2, 2, 1, 2, 0, 3, -1,
3, -2, 3, -2, 3, -3, 3, -4, 3, -5, 3, -5, 2, -6, 2, -6, 1, -6, 0, -6, 0, -5, -1, -5, -2, -4, -3, -4, -3, -3, -4, -2, -4, -1, -4, -1, -4, 0, -5, 0, -5, 1, -5, 1, -4, 1, -4, 2, -4, 2, -3, 2, -3, 1, -2, 1, -2, 1, -1, 1, 0, 0, 1, 0,
1, 0, 2, 0, 2, -1, 2, -1, 3, -1, 3, -1, 3, -1, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 3, 3, 3, 3, 4, 3, 5, 3, 5, 3, 5, 3, 5, 2, 5, 3, 5, 3, 5, 3, 4, 3, 3, 3, 3, 3, 2, 3, 1, 3, 0, 3, -1, 3, -2, 2, -3, 2, -3,
2, -4, 1, -5, 1, -5, 0, -5, -1, -5, -1, -5, -2, -5, -2, -4, -3, -4, -3, -3, -4, -2, -4, -1, -4, -1, -4, 0, -4, 1, -4, 2, -4, 2, -4, 3, -4, 3, -3, 3, -3, 3, -2, 3, -1, 3, -1, 3, 0, 2, 1, 2, 1, 1, 2, 1, 3, 0, 3, -1, 3, -1, 3, -1,
3, -2, 3, -2, 3, -2, 3, -2, 2, -1, 2, -1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, -1, 3, -1, 3, -1, 4, -1, 4, -2, 5, -2, 5, -1, 5, -1, 5, -1, 5, -1, 5, 0, 4, 0, 4, 0, 3, 1, 3, 1, 2, 2, 1, 2, 1, 2, 0, 2, -1, 2, -1, 2, -1,
2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 1, -1, 1, -1, 0, -1, 0, 0, -1, 0, -1, 1, -1, 1, -2, 1, -2, 2, -2, 2, -2, 2, -2, 1, -2, 1, -2, 1, -2, 0, -2, 0, -1, -1, -1, -2, -1, -3, -1, -3, -1, -4, -1, -5, -1, -5, -1, -5, -2, -6, -2, -6, -2, -6,
-2, -6, -3, -5, -3, -5, -3, -4, -3, -3, -4, -3, -4, -2, -4, -1, -4, 0, -4, 1, -4, 2, -3, 2, -3, 3, -3, 4, -2, 4, -1, 4, 0, 5, 0, 5, 1, 4, 2, 4, 3, 4, 4, 3, 4, 3, 5, 2, 6, 2, 6, 1, 6, 1, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0,
5, 0, 5, 0, 4, 1, 3, 1, 2, 1, 2, 2, 1, 2, 0, 3, 0, 3, -1, 3, -1, 3, -2, 3, -2, 3, -2, 3, -2, 3, -2, 2, -2, 2, -1, 1, -1, 1, -1, 0, -1, -1, 0, -1, 0, -2, 0, -2, 0, -3, 1, -3, 1, -4, 1, -4, 1, -4, 1, -4, 1, -3, 1, -3,
0, -3, 0, -2, 0, -1, -1, -1, -1, 0, -1, 1, -1, 1, -1, 2, -1, 3, -1, 3, -1, 3, -1, 3, 0, 3, 0, 3, 0, 3, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, -1, 2, -1, 2, -2, 2, -2, 2, -2, 2, -3, 2, -3, 1, -3, 1, -2, 1, -2, 0, -2, 0, -1,
-1, -1, -1, 0, -1, 1, -2, 1, -2, 2, -2, 3, -2, 4, -2, 4, -2, 5, -2, 5, -1, 5, -1, 5, 0, 5, 1, 5, 1, 4, 2, 4, 2, 3, 3, 2, 4, 1, 4, 1, 5, 0, 5, -1, 5, -1, 4, -2, 4, -3, 4, -3, 3, -3, 2, -3, 2, -3, 1, -3, 0, -3, -1, -3,
-2, -3, -3, -3, -3, -2, -4, -2, -5, -1, -5, -1, -6, -1, -6, -1, -6, -1, -6, -1, -6, -1, -5, -1, -5, -1, -5, -2, -4, -2, -4, -2, -3, -2, -2, -3, -2, -3, -1, -3, 0, -3, 0, -3, 0, -3, 1, -3, 1, -2, 1, -2, 1, -1, 1, -1, 1, 0, 1, 1, 1, 2, 1, 3,
1, 4, 1, 4, 1, 5, 1, 6, 1, 6, 1, 7, 1, 7, 1, 7, 2, 6, 2, 6, 2, 6, 3, 5, 3, 4, 3, 4, 3, 3, 4, 2, 4, 2, 4, 1, 4, 0, 4, 0, 3, -1, 3, -1, 2, -1, 2, -2, 2, -2, 1, -1, 0, -1, 0, -1, -1, 0, -2, 0, -2, 1, -2, 1,
-3, 2, -3, 2, -3, 2, -3, 3, -3, 3, -3, 3, -3, 3, -2, 3, -2, 3, -1, 2, -1, 2, 0, 1, 1, 0, 1, 0, 2, -1, 2, -2, 3, -2, 3, -3, 3, -3, 3, -4, 2, -4, 2, -4, 2, -4, 1, -4, 1, -4, 0, -4, -1, -3, -1, -3, -2, -2, -3, -2, -3, -1, -3, -1,
-4, 0, -4, 0, -4, 0, -4, 1, -4, 1, -4, 1, -3, 1, -3, 1, -2, 1, -2, 1, -1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 3, 2, 3, 2, 3, 3, 2, 3, 2, 4, 1, 4, 1, 4,
1, 4, 1, 4, 1, 4, 1, 3, 1, 3, 1, 2, 1, 2, 1, 1, 1, 0, 1, -1, 1, -1, 2, -2, 2, -3, 2, -3, 1, -4, 1, -4, 1, -5, 0, -5, 0, -5, -1, -5, -1, -5, -2, -4, -2, -4, -3, -3, -3, -3, -4, -2, -4, -2, -5, -1, -5, 0, -5, 0, -5, 1, -5, 1,
-5, 2, -4, 2, -4, 2, -3, 3, -2, 3, -1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 3, 1, 4, 0, 4, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 4, 0, 4, 1, 3, 1, 2, 2, 2, 2, 1, 2, 1, 3, 0, 3, -1, 4, -1, 4, -1, 4, -2, 4, -2, 4,
-2, 4, -2, 4, -1, 4, -1, 4, -1, 4, 0, 3, 0, 3, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, -1, 2, -1, 2, -1, 2, -1, 2, -2, 2, -2, 1, -1, 1, -1, 0, -1, -1, -1, -1, -1, -2, 0, -2, 0, -3, 0, -3, 0, -3, 1, -4, 1, -4, 0, -4, 0, -3, 0,
-3, 0, -3, 0, -2, -1, -2, -1, -2, -2, -1, -2, -1, -3, -1, -3, 0, -4, 0, -4, 0, -4, 0, -4, 0, -5, 0, -5, 0, -4, 0, -4, -1, -4, -1, -3, -2, -3, -2, -2, -2, -2, -3, -1, -3, 0, -3, 0, -3, 1, -3, 2, -3, 2, -3, 3, -3, 3, -2, 4, -1, 4, 0, 4,
1, 4, 2, 4, 2, 4, 3, 3, 4, 3, 5, 3, 6, 2, 7, 2, 7, 2, 7, 2, 7, 1, 7, 1, 7, 1, 7, 1, 6, 1, 5, 1, 4, 1, 3, 1, 3, 1, 2, 1, 1, 2, 0, 2, -1, 2, -2, 2, -2, 2, -3, 2, -3, 2, -4, 1, -4, 1, -4, 1, -4, 0, -3, 0,
-3, 0, -3, -1, -2, -1, -2, -2, -1, -2, 0, -3, 0, -3, 0, -3, 1, -4, 1, -4, 1, -4, 1, -4, 1, -3, 1, -3, 1, -3, 0, -2, 0, -2, 0, -1, -1, 0, -1, 0, -1, 1, -1, 1, -1, 2, -1, 2, -1, 2, -1, 2, -1, 3, 0, 3, 0, 3, 1, 2, 1, 2, 2, 2,
2, 2, 3, 1, 3, 1, 4, 1, 4, 0, 5, 0, 5, 0, 4, 0, 4, -1, 4, -1, 3, -1, 3, -1, 2, 0, 2, 0, 1, 0, 0, 1, -1, 1, -1, 1, -2, 2, -2, 2, -3, 3, -3, 3, -3, 3, -3, 4, -3, 4, -2, 4, -2, 4, -1, 3, 0, 3, 0, 3, 1, 2, 2, 2,
2, 1, 3, 1, 4, 0, 4, 0, 4, -1, 4, -1, 4, -2, 4, -2, 3, -2, 3, -3, 2, -3, 1, -3, 0, -3, -1, -3, -2, -3, -3, -3, -4, -3, -4, -3, -5, -2, -6, -2, -6, -2, -7, -2, -7, -2, -7, -2, -7, -2, -6, -2, -6, -2, -5, -2, -4, -2, -4, -2, -3, -2, -2, -2,
-1, -2, 0, -2, 1, -2, 2, -2, 2, -1, 2, -1, 3, -1, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 2, 3, 2, 3, 2, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 2, 5, 2, 5, 3, 5, 3, 4, 3, 3, 4, 3, 4, 2, 4, 2,
4, 1, 4, 1, 4, 0, 4, 0, 3, -1, 3, -1, 2, -1, 1, -1, 0, -1, 0, -1, -1, -1, -2, -1, -3, -1, -4, -1, -4, -1, -5, 0, -5, 0, -5, 0, -6, 0, -5, 0, -5, 0, -5, 0, -4, 0, -3, 0, -2, 0, -1, 0, -1, -1, 0, -1, 1, -1, 2, -2, 3, -2, 3, -2,
4, -2, 4, -3, 4, -3, 4, -3, 3, -3, 3, -3, 3, -3, 2, -3, 1, -2, 0, -2, 0, -2, -1, -2, -2, -1, -2, -1, -3, -1, -3, 0, -4, 0, -4, 0, -4, 0, -3, 1, -3, 1, -2, 1, -2, 1, -1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 3, 2, 4, 2, 5, 2, 5, 2,
5, 2, 6, 2, 6, 2, 5, 2, 5, 2, 5, 2, 4, 2, 3, 2, 3, 3, 2, 3, 1, 3, 1, 3, 0, 3, 0, 3, -1, 3, -1, 2, -1, 2, -2, 2, -1, 1, -1, 1, -1, 0, -1, 0, 0, -1, 0, -1, 0, -2, 0, -2, 1, -3, 1, -3, 1, -3, 1, -4, 1, -4, 1, -4,
0, -4, 0, -4, 0, -4, -1, -4, -2, -4, -2, -3, -3, -3, -4, -3, -5, -2, -5, -2, -5, -1, -6, -1, -6, 0, -6, 0, -5, 1, -5, 1, -4, 1, -3, 2, -2, 2, -1, 2, 0, 2, 1, 2, 2, 2, 3, 2, 4, 2, 5, 2, 6, 2, 6, 3, 7, 3, 7, 3, 7, 3, 7, 3,
7, 3, 6, 3, 6, 3, 5, 3, 4, 3, 3, 3, 2, 3, 1, 3, 0, 3, 0, 3, -1, 3, -2, 3, -2, 3, -2, 3, -3, 3, -3, 3, -2, 3, -2, 3, -2, 2, -1, 2, -1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, -1, 2, -1, 2, -1, 2, -2, 1, -2,
1, -2, 0, -2, -1, -2, -1, -2, -2, -2, -3, -2, -4, -2, -4, -2, -5, -2, -5, -2, -5, -2, -5, -2, -5, -2, -5, -2, -4, -2, -4, -2, -3, -2, -2, -2, -2, -2, -1, -2, 0, -2, 0, -2, 1, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 1, -2,
1, -1, 0, -1, -1, -1, -1, 0, -2, 0, -2, 1, -3, 1, -3, 2, -3, 2, -3, 2, -2, 3, -2, 3, -1, 3, -1, 3, 0, 4, 1, 4, 2, 4, 3, 4, 4, 4, 5, 4, 6, 4, 7, 3, 7, 3, 8, 3, 8, 3, 8, 3, 7, 3, 7, 2, 6, 2, 6, 2, 5, 1, 3, 1,
2, 1, 1, 1, 0, 1, -1, 0, -2, 0, -3, 0, -4, 0, -4, 0, -5, -1, -5, -1, -6, -1, -5, -1, -5, -1, -5, -2, -4, -2, -4, -2, -3, -2, -3, -2, -2, -2, -1, -2, 0, -2, 0, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -1, 0, -1, 0, -1,
0, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 2, -1, 2, 0, 2, 0, 2, 1, 2, 1, 3, 2, 3, 3, 3, 4, 3, 4, 3, 5, 3, 6, 3, 6, 3, 6, 3, 7, 2, 7, 2, 6, 2, 6, 2, 5, 1, 4, 1, 4, 1, 3, 1, 2, 1, 1, 1, 0, 0, -1, 0,
-2, 0, -3, 0, -3, 0, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 0, -3, 0, -3, 0, -2, 0, -1, 0, 0, 0, 0, 0, 1, 0, 2, -1, 3, -1, 3, -1, 3, -1, 3, -2, 3, -2, 3, -2, 2, -2, 2, -3, 1, -3, 0, -3, -1, -3, -2, -3, -3, -4, -4, -4, -5, -4,
-5, -4, -6, -4, -7, -4, -7, -4, -7, -4, -7, -3, -7, -3, -6, -3, -6, -2, -5, -2, -4, -2, -3, -1, -2, -1, -1, -1, 0, 0, 1, 0, 2, 0, 3, 1, 4, 1, 4, 2, 4, 2, 4, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 2, 5, 2, 5, 2, 5,
1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 2, 5, 2, 5, 3, 5, 3, 4, 3, 4, 3, 4, 4, 3, 4, 3, 4, 2, 4, 2, 4, 1, 4, 1, 3, 0, 2, 0, 2, -1, 1, -1, 0, -1, -1, -2, -2, -2, -3, -2, -4, -2, -5, -3, -5, -3, -6, -3, -7, -3, -7, -2,
-7, -2, -7, -2, -7, -2, -6, -2, -5, -2, -4, -1, -3, -1, -2, -1, -1, -1, 0, -1, 1, 0, 2, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 4, 0, 4, 0, 3, 0, 2, -1, 2, -1, 1, -1, 0, -1, -1, -1, -1, -1, -2, 0, -2, 0, -2, 0,
-3, 0, -3, 0, -2, 1, -2, 1, -1, 1, -1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 3, 2, 4, 2, 5, 2, 5, 3, 5, 3, 5, 2, 5, 2, 5, 2, 5, 2, 4, 2, 4, 1, 3, 1, 2, 1, 1, 1, 0, 0, -1, 0, -1, 0, -2, 0, -2, -1, -3, -1, -3, -1, -3, -1,
-3, -1, -3, -2, -3, -2, -2, -2, -2, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -3, 1, -3, 1, -3, 1, -3, 0, -3, 0, -3, 0, -3, -1, -3, -1, -3, -2, -3, -3, -3, -3, -3, -4, -2, -4, -2, -5, -2, -5, -1, -5, -1, -5, 0, -5, 0, -4, 1, -4, 1, -3, 1,
-2, 2, -1, 2, 0, 3, 1, 3, 2, 4, 4, 4, 5, 4, 6, 5, 7, 5, 8, 5, 8, 5, 9, 5, 9, 5, 9, 5, 8, 5, 8, 4, 7, 4, 7, 4, 6, 3, 5, 3, 4, 3, 3, 2, 2, 2, 1, 2, 0, 2, -1, 1, -2, 1, -2, 1, -3, 1, -3, 1, -3, 1, -3, 1,
-2, 1, -2, 1, -2, 1, -1, 1, -1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 0, -2, 0, -2, 0, -2, -1, -2, -2, -3, -2, -3, -3, -3, -4, -3, -4, -3, -5, -3, -5, -3, -5, -3, -5, -3, -5, -3, -5, -3, -4, -3, -4, -2, -3, -2, -2, -2,
-2, -1, -1, -1, 0, -1, 1, -1, 1, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 0, 3, 0, 3, 0, 3, 0, 2, 0, 2, 0, 1, 0, 0, 0, -1, 0, -1, 0, -2, 0, -2, 0, -2, 1, -2, 1, -2, 1, -2, 1, -2, 2, -1, 2, -1, 2, 0, 3, 1, 3, 2, 3,
3, 3, 4, 3, 4, 4, 5, 4, 6, 4, 6, 3, 7, 3, 6, 3, 6, 3, 6, 2, 5, 2, 5, 1, 4, 1, 3, 0, 2, 0, 1, -1, 0, -1, -1, -1, -2, -2, -3, -2, -4, -2, -5, -3, -6, -3, -6, -3, -6, -3, -6, -3, -6, -3, -6, -2, -6, -2, -5, -2, -4, -2, -4, -1,
-3, -1, -2, -1, -1, -1, 0, -1, 0, -1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4,
7, 4, 7, 4, 7, 4, 7, 4, 7, 3, 7, 3, 6, 3, 6, 2, 5, 2, 4, 1, 3, 1, 2, 0, 1, 0, 0, -1, -1, -1, -2, -1, -3, -2, -4, -2, -5, -2, -5, -2, -5, -2, -5, -2, -5, -2, -5, -2, -5, -1, -4, -1, -3, -1, -2, -1, -2, -1, -1, -1, 0, 0, 0, 0,
1, 0, 2, 0, 2, -1, 2, -1, 2, -1, 2, -1, 2, -2, 1, -2, 1, -2, 0, -3, -1, -3, -2, -3, -2, -4, -3, -4, -4, -4, -5, -4, -5, -4, -6, -4, -6, -4, -6, -3, -6, -3, -6, -3, -5, -2, -5, -1, -4, -1, -3, 0, -2, 0, -1, 1, 0, 1, 1, 2, 2, 2, 3, 2,
4, 3, 4, 3, 5, 3, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2,
2, 1, 2, 1, 1, 0, 1, -1, 0, -1, -1, -2, -2, -2, -3, -3, -4, -3, -5, -3, -5, -4, -6, -4, -7, -4, -7, -4, -7, -4, -7, -3, -7, -3, -7, -3, -6, -2, -5, -2, -4, -2, -3, -1, -2, -1, -1, 0, 0, 0, 1, 1, 2, 1, 3, 1, 4, 2, 5, 2, 6, 2, 6, 2,
6, 2, 6, 2, 6, 1, 6, 1, 6, 1, 5, 0, 5, 0, 4, 0, 3, -1, 2, -1, 1, -1, 1, -1, 0, -1, 0, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 2, 4, 2,
4, 2, 3, 1, 3, 1, 2, 0, 1, 0, 1, -1, 0, -1, -1, -1, -2, -2, -3, -2, -3, -2, -4, -3, -4, -3, -4, -3, -4, -3, -4, -3, -4, -3, -4, -2, -4, -2, -3, -2, -3, -2, -3, -1, -2, -1, -2, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -2,
-1, -2, -1, -2, -1, -2, -2, -2, -2, -2, -3, -2, -3, -2, -3, -2, -4, -1, -4, -1, -3, -1, -3, 0, -3, 0, -2, 1, -2, 1, -1, 2, 0, 3, 1, 3, 2, 4, 3, 5, 4, 5, 5, 6, 6, 6, 7, 6, 8, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 5, 8, 5, 8, 4,
7, 3, 6, 3, 5, 2, 4, 2, 3, 1, 2, 1, 1, 0, 0, 0, -1, 0, -2, 0, -3, 0, -3, 0, -3, 0, -4, 0, -4, 0, -4, 0, -3, 0, -3, 0, -3, 0, -2, 1, -2, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, -1, -2, -1, -2,
-2, -3, -2, -3, -2, -3, -3, -4, -3, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -3, -4, -3, -3, -3, -3, -2, -2, -2, -2, -1, -1, -1, 0, 0, 1, 0, 2, 1, 2, 1, 3, 1, 4, 2, 4, 2, 5, 2, 5, 2, 5, 1, 5, 1, 4, 1, 4, 1, 3, 1, 3, 0, 2, 0,
1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, -2, 0, -2, 0, -2, 0, -2, 1, -2, 1, -1, 1, -1, 2, 0, 2, 0, 3, 1, 3, 2, 3, 2, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 2, 3, 2, 3, 1, 2, 1, 2, 0, 1, -1, 0, -1, -1, -2,
-2, -2, -3, -3, -4, -3, -5, -3, -6, -3, -6, -3, -6, -3, -7, -3, -7, -3, -7, -2, -6, -2, -6, -2, -5, -1, -4, -1, -4, 0, -3, 0, -2, 0, -1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 0, 3, 0, 3, 0,
2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 3, 4, 3, 4, 3, 5, 4, 5, 4, 6, 4, 6, 5, 7, 5, 7, 5, 7, 4, 7, 4, 7, 4, 7, 3, 6, 3, 5, 2, 5, 2, 4, 1, 3, 0, 2, 0, 1, -1, -1, -2, -2, -2, -3, -3, -4, -3,
-4, -3, -5, -3, -6, -3, -6, -3, -6, -3, -6, -3, -6, -3, -6, -3, -5, -2, -5, -2, -4, -2, -3, -1, -3, -1, -2, -1, -1, 0, 0, 0, 0, 0, 1, 0, 1, -1, 1, -1, 2, -1, 1, -2, 1, -2, 1, -2, 1, -3, 0, -3, -1, -4, -1, -4, -2, -4, -3, -4, -3, -4, -4, -4,
-4, -4, -4, -4, -4, -3, -4, -3, -4, -2, -4, -2, -3, -1, -3, 0, -2, 0, -1, 1, 0, 2, 1, 2, 1, 3, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 3, 4, 3, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 2, 1, 2,
0, 2, 0, 2, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, -1, -1, -2, -2, -3, -2, -3, -3, -4, -3, -5, -3, -5, -4, -6, -4, -6, -4, -6, -4, -6, -3, -6, -3,
-6, -3, -5, -2, -5, -2, -4, -1, -3, -1, -2, 0, -1, 1, 1, 1, 2, 2, 3, 2, 4, 3, 5, 3, 6, 3, 7, 3, 7, 3, 8, 3, 8, 2, 8, 2, 8, 2, 7, 1, 7, 1, 6, 0, 5, 0, 5, 0, 4, -1, 3, -1, 2, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, 0,
-1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, -1, 0, -1, -1, -2, -2, -2, -2, -3, -3, -3, -4, -4, -4, -4, -5, -4, -5, -4, -6, -4, -6, -4, -6, -4, -6, -4,
-6, -3, -5, -3, -5, -3, -4, -2, -3, -2, -3, -1, -2, -1, -2, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -2, -1, -2, -1, -2, -2, -1, -2, -1, -2, -1, -2, -1, -2, 0, -1, 0, -1, 1, -1, 2, 0, 2, 1, 3,
1, 4, 2, 4, 3, 5, 4, 6, 5, 6, 6, 7, 7, 7, 8, 7, 8, 7, 9, 7, 9, 6, 9, 6, 9, 5, 8, 5, 7, 4, 7, 4, 6, 3, 5, 2, 4, 2, 3, 1, 2, 0, 0, 0, -1, 0, -2, -1, -2, -1, -3, -1, -4, -1, -4, -1, -4, -1, -4, -1, -4, 0, -4, 0,
-4, 0, -3, 0, -3, 1, -2, 1, -2, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, 0, -2, -1, -3, -1, -3, -1, -3, -2, -4, -2, -4, -2, -4, -2, -4, -3, -4, -3, -4, -3, -4, -2, -3, -2, -3, -2, -2, -1, -2, -1, -1, 0, 0, 1, 0,
2, 1, 2, 1, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 4, 1, 4, 1, 3, 1, 3, 0, 2, 0, 1, 0, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -3, -1, -3, 0, -3, 0, -3, 0, -3, 1, -3, 1, -2, 1, -2, 2, -1, 2, -1, 3,
0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, -1, -1, -1, -1, -2, -2, -3, -3, -3, -4, -3, -5, -4, -5, -4, -6, -4, -6, -4, -6, -4, -7, -3, -6, -3, -6, -3, -6, -2, -5, -2, -5, -1, -4, 0, -3, 0, -2, 1, -1, 1,
0, 2, 1, 2, 2, 2, 2, 3, 3, 3, 4, 3, 4, 3, 5, 2, 5, 2, 5, 2, 5, 2, 5, 1, 5, 1, 4, 1, 4, 1, 4, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 4, 3, 4, 4, 5, 4, 5, 4, 6, 5, 6, 5, 6, 5,
6, 5, 6, 4, 6, 4, 6, 4, 6, 3, 5, 3, 4, 2, 4, 1, 3, 0, 2, 0, 1, -1, 0, -2, -1, -2, -2, -3, -3, -3, -4, -4, -5, -4, -5, -4, -6, -4, -6, -4, -6, -4, -6, -3, -6, -3, -5, -3, -5, -2, -4, -2, -3, -1, -3, -1, -2, -1, -1, -1, -1, -1, 0, 0,
1, 0, 1, -1, 2, -1, 2, -1, 2, -2, 2, -2, 1, -2, 1, -3, 0, -3, 0, -4, -1, -4, -1, -4, -2, -4, -2, -4, -3, -4, -3, -4, -4, -4, -4, -3, -4, -3, -3, -2, -3, -1, -3, -1, -2, 0, -2, 1, -1, 2, 0, 2, 1, 3, 2, 4, 2, 4, 3, 4, 4, 5, 4, 5,
5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 1, 2, 1, 1, 0, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 2, -2, 2, -1, 2, -1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1,
1, 1, 0, 0, 0, 0, 0, -1, -1, -1, -2, -2, -2, -2, -3, -2, -3, -3, -4, -3, -4, -3, -4, -3, -4, -3, -5, -3, -4, -3, -4, -2, -4, -2, -3, -1, -2, -1, -2, 0, -1, 0, 0, 1, 1, 2, 3, 2, 4, 3, 5, 3, 6, 3, 6, 4, 7, 4, 8, 4, 8, 3, 8, 3,
8, 3, 8, 2, 8, 2, 7, 1, 7, 1, 6, 0, 5, 0, 4, 0, 3, -1, 2, -1, 2, -1, 1, -1, 0, -1, 0, -1, 0, -1, -1, 0, -1, 0, -1, 0, -1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0,
1, 0, 0, -1, -1, -2, -1, -3, -2, -3, -3, -4, -4, -4, -4, -5, -5, -5, -6, -5, -6, -5, -6, -5, -6, -5, -6, -5, -6, -4, -6, -4, -6, -3, -5, -3, -4, -2, -4, -2, -3, -1, -2, -1, -2, -1, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0,
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 2, 0, 2, 0, 3, 1, 4, 2, 4, 3, 5, 4, 5, 4, 6, 5, 6, 6, 6, 7, 6, 7, 6, 8, 6, 8, 6, 8, 6, 8, 5, 7, 4, 6, 4, 6, 3, 5, 2,
4, 2, 3, 1, 2, 0, 1, 0, 0, -1, -1, -1, -2, -1, -3, -2, -3, -2, -4, -2, -4, -2, -4, -1, -4, -1, -4, -1, -4, -1, -3, 0, -3, 0, -2, 0, -2, 1, -1, 1, -1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, -1, 1, -1, 1, -2, 1, -2,
0, -3, 0, -3, -1, -3, -1, -4, -1, -4, -2, -4, -2, -4, -2, -3, -2, -3, -1, -2, -1, -2, -1, -1, 0, -1, 0, 0, 1, 0, 2, 1, 3, 1, 3, 2, 4, 2, 4, 2, 5, 3, 5, 3, 5, 3, 5, 3, 5, 2, 5, 2, 4, 2, 4, 1, 3, 1, 3, 1, 2, 0, 1, 0,
0, 0, -1, -1, -1, -1, -2, -1, -3, -1, -3, -1, -3, -1, -3, -1, -4, 0, -3, 0, -3, 0, -3, 1, -3, 1, -2, 1, -2, 2, -1, 2, -1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -2, -2, -2, -3, -3, -3, -3, -4, -3,
-5, -4, -6, -4, -6, -4, -6, -4, -6, -3, -6, -3, -6, -3, -6, -2, -6, -2, -5, -1, -4, -1, -3, 0, -2, 1, -1, 1, 0, 2, 1, 3, 2, 3, 3, 3, 3, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 6, 3, 6, 3, 6, 3, 5, 2, 5, 2, 4, 2, 4, 1, 4, 1,
3, 1, 3, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 5, 4, 5, 4, 5, 4, 5, 3, 5, 3, 5, 3, 5, 3, 5, 2, 4, 1, 3, 1, 3, 0, 2, 0, 1, -1, 0, -2, -1, -2, -2, -3, -2, -3, -3, -4, -4, -4,
-4, -4, -5, -4, -5, -4, -5, -4, -5, -4, -5, -3, -5, -3, -4, -3, -4, -2, -3, -2, -2, -2, -2, -1, -1, -1, 0, -1, 0, -1, 1, -1, 1, -1, 2, -1, 2, -1, 2, -1, 2, -2, 1, -2, 1, -3, 0, -3, 0, -3, -1, -3, -1, -4, -2, -4, -2, -4, -3, -4, -3, -4, -3, -3,
-3, -3, -3, -2, -3, -2, -3, -1, -2, -1, -2, 0, -1, 1, -1, 2, 0, 2, 1, 3, 2, 4, 3, 4, 3, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1, 0, 1, -1, 1, -2, 0, -2, 0, -3, 0, -3, 0,
-3, 0, -4, 0, -4, 0, -3, 0, -3, 0, -3, 1, -2, 1, -2, 1, -1, 1, -1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -2, -1, -2, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -1, -3, -1,
-2, -1, -2, 0, -1, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 3, 5, 3, 6, 4, 6, 4, 7, 4, 8, 4, 8, 4, 8, 3, 8, 3, 8, 3, 7, 2, 7, 2, 6, 1, 5, 1, 5, 0, 4, 0, 3, 0, 2, -1, 1, -1, 1, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, 0,
-1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, -1, 0, -1, -1, -2, -1, -3, -2, -3, -3, -4, -4, -4, -5, -5, -5, -5, -6, -5, -6, -5, -7, -5, -7, -5, -7, -5, -7, -5, -7, -4, -6, -4,
-6, -3, -5, -3, -4, -2, -3, -2, -2, -1, -2, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 2, 0, 2, 0, 2, 0, 3, 1, 3, 2, 4,
2, 4, 3, 5, 4, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 4, 7, 4, 6, 4, 5, 3, 4, 2, 4, 2, 3, 1, 2, 1, 1, 0, 0, 0, -1, -1, -2, -1, -3, -1, -3, -2, -4, -2, -4, -2, -4, -1, -4, -1, -4, -1, -4, -1, -3, -1, -3, 0,
-2, 0, -1, 0, -1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 0, 3, 0, 2, -1, 2, -1, 2, -1, 1, -2, 1, -2, 0, -2, 0, -3, -1, -3, -1, -3, -1, -3, -2, -3, -2, -2, -1, -2, -1, -2, -1, -1, 0, -1, 0, -1, 1, 0, 2, 0, 2, 1,
3, 1, 3, 2, 4, 2, 4, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 4, 2, 4, 2, 3, 1, 3, 1, 2, 0, 1, 0, 0, 0, -1, -1, -1, -1, -2, -1, -3, -1, -3, -1, -3, -1, -4, -1, -4, -1, -4, -1, -4, 0, -3, 0, -3, 0, -3, 0, -2, 1, -2, 1, -1, 1,
-1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -2, -1, -3, -2, -3, -2, -4, -3, -5, -3, -5, -3, -6, -3, -6, -3, -6, -3, -7, -3, -6, -3, -6, -2, -6, -2, -5, -2, -5, -1, -4, 0, -3, 0, -2, 1, -1, 1, 1, 2, 2, 3, 3, 3,
4, 3, 5, 4, 5, 4, 6, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 3, 6, 3, 6, 3, 5, 2, 4, 2, 4, 2, 3, 2, 3, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 5, 3,
5, 3, 5, 2, 5, 2, 5, 2, 4, 1, 4, 1, 3, 0, 2, 0, 2, -1, 1, -1, 0, -1, -1, -2, -2, -2, -2, -3, -3, -3, -4, -3, -4, -3, -4, -3, -5, -3, -5, -3, -5, -3, -4, -3, -4, -3, -3, -2, -3, -2, -2, -2, -1, -2, -1, -1, 0, -1, 1, -1, 1, -1, 1, -1,
2, -1, 2, -1, 2, -1, 2, -2, 1, -2, 1, -2, 0, -2, 0, -3, -1, -3, -1, -3, -2, -3, -2, -3, -3, -3, -3, -3, -3, -3, -3, -2, -3, -2, -3, -1, -3, -1, -2, 0, -2, 0, -1, 1, -1, 1, 0, 2, 1, 3, 2, 3, 3, 4, 3, 4, 4, 4, 5, 4, 5, 5, 5, 5,
5, 4, 5, 4, 5, 4, 4, 4, 3, 3, 3, 3, 2, 2, 1, 2, 0, 1, -1, 1, -2, 1, -3, 0, -3, 0, -4, 0, -4, -1, -5, -1, -5, -1, -5, -1, -5, -1, -4, -1, -4, 0, -3, 0, -3, 0, -2, 0, -2, 0, -1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -1, 0, -1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 3, 2, 4, 3, 5, 3, 6, 3, 6, 3, 7, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 2,
7, 2, 7, 2, 6, 2, 5, 1, 5, 1, 4, 1, 3, 0, 2, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, -1, 1, -1, 0, -1,
0, -2, -1, -2, -2, -3, -3, -3, -4, -4, -4, -4, -5, -4, -6, -5, -6, -5, -7, -5, -7, -5, -7, -4, -7, -4, -7, -4, -6, -4, -6, -3, -5, -3, -4, -3, -3, -2, -2, -2, -2, -1, -1, -1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1,
2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 3, 0, 3, 0, 3, 1, 3, 2, 3, 2, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 6, 4, 6, 4, 6, 4, 6, 3, 6, 3, 5, 3, 4, 2, 4, 2, 3, 1, 2, 1,
1, 0, 0, 0, -1, 0, -2, -1, -2, -1, -3, -1, -4, -1, -4, -1, -4, -1, -4, -1, -4, -1, -4, -1, -4, -1, -3, -1, -2, -1, -2, 0, -1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 3, 1, 3, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 3, -1, 3, -1, 2, -1, 2, -1,
1, -1, 0, -1, 0, -2, -1, -2, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 2, 4, 2, 5, 2, 5, 2, 5, 2, 4, 1, 4, 1, 3, 1, 3, 1, 2, 1, 1, 0, 0, 0, -1, 0,
-1, 0, -2, 0, -3, -1, -3, -1, -4, -1, -4, -1, -4, -1, -4, -1, -4, 0, -4, 0, -4, 0, -3, 0, -3, 0, -2, 0, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -3, -2, -3, -2, -4, -2, -5, -2, -5, -2,
-5, -2, -6, -2, -6, -2, -6, -2, -6, -1, -5, -1, -5, -1, -4, 0, -3, 0, -2, 1, -1, 1, 0, 2, 1, 2, 2, 2, 3, 3, 4, 3, 5, 3, 6, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 4, 7, 3, 6, 3, 5, 3, 5, 3, 4, 3, 3, 2, 3, 2, 2, 2,
1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 0, 4, 0, 3, 0, 3, 0, 2, -1, 2, -1, 1, -1, 0, -2, -1, -2, -1, -2, -2, -2, -3, -2, -3, -2,
-3, -2, -4, -2, -4, -2, -4, -2, -3, -2, -3, -2, -3, -2, -2, -2, -2, -2, -1, -2, 0, -2, 0, -2, 1, -2, 1, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 1, -2, 1, -2, 0, -2, 0, -2, -1, -2, -1, -2, -2, -2, -2, -2, -3, -2, -3, -1, -3, -1, -3, -1,
-3, 0, -3, 0, -3, 0, -2, 1, -2, 1, -1, 1, 0, 2, 0, 2, 1, 2, 2, 3, 2, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 2, 2, 1, 2, 0, 2, 0, 1, -1, 1, -2, 1, -3, 1, -4, 0, -4, 0, -5, 0, -5, 0, -5, 0,
-5, 0, -5, 0, -5, 0, -4, 0, -3, 0, -3, 0, -2, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1,
0, 2, 0, 2, 1, 2, 2, 2, 3, 2, 3, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 7, 2, 7, 2, 7, 2, 6, 2, 6, 1, 6, 1, 5, 1, 5, 1, 4, 1, 3, 1, 2, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, -2, 0, -2, 0, -2, 0, -2, 0,
-1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -2, 1, -2, 1, -2, 0, -3, -1, -3, -2, -3, -2, -3, -3, -3, -4, -3, -4, -3, -5, -3, -5, -3, -6, -3, -6, -3, -6, -3, -6, -3, -5, -3, -5, -3, -4, -2,
-4, -2, -3, -2, -2, -1, -2, -1, -1, -1, 0, -1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, -1, 2, -1, 2, -1, 2, -1, 3, -1, 3, -1, 3, -1, 3, -1, 3, 0, 3, 0, 3, 1, 3, 1, 3,
2, 3, 2, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 4, 1, 4, 1, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, -1, 0, -1, 0, -2, 0, -2, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -2, 0, -2, 0, -1, 0, -1, 0, 0, 0,
1, 0, 1, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, -1, 4, -1, 4, -1, 3, -1, 3, -1, 2, -1, 1, -1, 1, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0,
1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -2, 0, -2, 0, -3, 0, -3, 0, -3, 0, -3, 0, -4, 0, -4, 0, -3, 0, -3, 0, -3, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, -1,
0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -2, -1, -2, -1, -2, -1, -2, -2, -2, -2, -2, -3, -1, -3, -1, -4, -1, -4, -1, -4, -1, -5, -1, -4, 0, -4, 0, -4, 0, -4, 1, -3, 1, -3, 1, -2, 1, -1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 3, 2, 4, 2,
5, 2, 5, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 5, 2, 5, 2, 4, 2, 4, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 1, 4, 0, 4, 0,
4, 0, 4, 0, 4, 0, 4, -1, 4, -1, 3, -1, 3, -1, 2, -1, 2, -1, 1, -1, 1, -1, 0, -1, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, -1, 0, -2, 0, -2, 0, -2, 1, -2, 1, -2, 1, -3, 1, -3,
1, -3, 1, -3, 1, -3, 1, -3, 0, -3, 0, -3, -1, -3, -1, -2, -2, -2, -2, -2, -2, -2, -3, -1, -3, -1, -3, 0, -3, 0, -3, 0, -3, 1, -3, 1, -3, 1, -2, 2, -2, 2, -1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, -1, 1, -2, 1, -2, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -2, 1, -2, 1, -1, 1, -1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, -1,
2, -1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 1, 4, 1, 4, 1, 5, 1, 5, 0, 5, 0, 5, 0, 4, 0, 4, 0,
4, 0, 3, 0, 3, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 2, -1, 2, -1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, -1, 2, -1, 2, -2, 2, -2, 2, -2, 1, -2, 1, -3, 1, -3, 0, -3,
0, -3, -1, -3, -1, -3, -2, -3, -2, -3, -3, -3, -3, -2, -4, -2, -4, -2, -4, -2, -4, -1, -4, -1, -4, -1, -4, -1, -3, -1, -3, -1, -2, -1, -2, -1, -2, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0,
0, 1, 0, 1, -1, 1, -1, 2, -1, 2, -1, 3, -1, 3, -1, 3, -1, 4, -1, 4, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 4, 2, 3, 3, 3, 3, 3, 3, 2, 3, 2, 4, 2, 4, 1, 4, 1, 4, 1, 3, 0, 3, 0, 3, 0, 2, 0, 2, 0, 2, 0, 1, 0,
1, 0, 0, 0, 0, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 3, -1, 3, -1, 3, -1, 3, -1, 3, -1, 3, -2, 3, -2, 2, -2, 2, -2, 2, -2, 1, -1, 1, -1, 1, -1,
0, -1, 0, -1, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, 0, -1, 0, -1, 0,
-2, 0, -2, 1, -2, 1, -2, 1, -2, 1, -2, 2, -2, 2, -1, 2, -1, 2, -1, 1, -1, 1, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, 0, -2, -1, -2, -1, -2, -1, -3, -1, -3, -2, -3, -2, -2, -2, -2, -3, -2, -3, -2, -3, -1, -3, -1, -3, 0,
-3, 0, -3, 1, -3, 1, -2, 1, -2, 2, -2, 2, -1, 2, 0, 2, 0, 3, 1, 3, 1, 3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 4, 2, 4, 1, 4, 1, 4, 1, 4, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 3,
1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 1, 3, 1, 3, 1, 3, 0, 3, 0, 3, -1, 3, -1, 3, -1, 3, -2, 2, -2, 2, -2, 2, -2, 2, -2, 1, -2, 1, -2, 1, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 0, -3, 0, -3, 0, -3, 0, -4, -1, -4, -1, -4, -1, -4, -2, -4, -2, -3, -2, -3, -2, -3, -3, -2, -3, -2, -3, -1, -3, -1, -3, 0, -2, 1, -2, 1, -2, 2,
-2, 2, -1, 2, -1, 2, -1, 3, 0, 3, 0, 3, 0, 3, 0, 3, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -2, 0, -2, 1, -2, 1, -2, 1, -2, 2, -2, 2, -2, 2, -1, 2, -1, 2,
-1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 2, 3,
2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 3, 0, 3, 0, 3, -1, 2, -1, 2, -1, 2, -1, 1, -2, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2,
1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, -1, 2, -1, 1, -2, 1, -2, 1, -3, 0, -3, 0, -3, 0, -4, -1, -4, -1, -4, -1, -3, -2, -3, -2, -3, -2, -3, -2, -2, -2, -2, -2, -2, -2, -1, -2, -1, -2, -1, -2, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -2, 1, -2, 1, -1, 2, -1, 2, -1, 3, -1, 3, 0, 4, 0, 4, 1, 4, 1, 5, 2, 5, 2, 5, 2, 5, 3, 4, 3, 4,
3, 4, 3, 3, 3, 3, 3, 2, 3, 1, 3, 1, 2, 0, 2, 0, 2, 0, 2, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1,
3, 1, 3, 0, 3, 0, 3, 0, 2, -1, 2, -1, 2, -2, 1, -2, 1, -2, 1, -2, 0, -2, 0, -2, 0, -2, 0, -2, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0,
0, 0, 0, -1, 0, -1, 0, -2, -1, -2, -1, -2, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -2, -1, -2, -1, -2, 0, -1, 0, -1, 1, -1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, -1,
0, -1, 0, -2, 0, -2, -1, -2, -1, -3, -2, -3, -2, -3, -2, -3, -3, -3, -3, -2, -3, -2, -3, -2, -3, -1, -3, -1, -2, 0, -2, 0, -2, 1, -1, 2, -1, 2, 0, 2, 0, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2,
2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 2, 4, 2, 3, 1, 3, 1, 3, 0, 3, 0, 2, -1, 2, -1,
2, -2, 1, -2, 1, -2, 1, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 2, 1, 2, 0, 2, 0, 2, -1, 1, -1, 1, -2, 0, -2, 0, -3, -1, -3, -1, -3,
-2, -4, -2, -4, -3, -4, -3, -4, -4, -4, -4, -3, -4, -3, -4, -2, -4, -2, -4, -1, -3, -1, -3, 0, -3, 0, -2, 1, -2, 1, -1, 2, -1, 2, 0, 2, 0, 3, 0, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, -1, -1,
-1, -1, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -1, 0, -1, 1, -1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1,
-1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 3, 2, 3, 2, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 2, 3, 2, 3, 1, 3, 1, 2, 0, 2, 0, 1, -1, 1, -1, 0, -2, 0, -2, -1, -2, -1, -2, -1, -2,
-2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, 0, -1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 3, 0, 2, 0, 2, -1, 2, -1, 1, -2, 1, -2, 0, -3, 0, -3, -1, -3, -1, -3, -1, -3, -2, -3,
-2, -3, -2, -3, -2, -2, -1, -2, -1, -2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -2, -1, -2, -1, -3, -2, -3, -2, -3, -2, -4, -1, -4, -1, -4, -1, -4, -1, -4, 0,
-3, 0, -3, 1, -2, 1, -2, 2, -1, 3, 0, 3, 0, 4, 1, 4, 2, 4, 2, 5, 3, 5, 3, 5, 4, 5, 4, 4, 4, 4, 4, 3, 4, 3, 4, 2, 3, 2, 3, 1, 2, 1, 2, 0, 1, 0, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, 0, 0,
0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 2, 4, 2, 4, 2, 3, 1, 3, 1, 3, 0, 2, 0, 2, -1, 1, -1, 0, -1, 0, -2, 0, -2, -1, -2, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1,
-1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -1, -3, -1, -2, -1, -1, 0, -1, 0,
0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 1, 3, 1, 3, 0, 2, 0, 1, -1, 1, -1, 0, -2, -1, -2, -1, -2, -2, -2, -2, -3, -3, -3, -3, -2, -3, -2, -3, -2, -3, -2, -3, -1, -3, -1, -2, 0, -2, 0, -2, 1,
-1, 2, 0, 2, 0, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 3, 2, 3,
3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 2, 4, 2, 4, 2, 3, 1, 3, 1, 2, 0, 2, 0, 1, -1, 1, -1, 0, -2, 0, -2, 0, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, 0, -1, 0, -1, 1, 0, 1, 0, 2, 0, 2, 1, 3, 1, 3, 1,
4, 1, 4, 2, 4, 2, 4, 1, 4, 1, 4, 1, 3, 0, 3, 0, 2, 0, 1, -1, 1, -1, 0, -2, -1, -2, -2, -3, -3, -3, -3, -3, -4, -3, -4, -3, -5, -3, -5, -3, -5, -3, -5, -3, -5, -2, -5, -2, -4, -1, -4, -1, -3, 0, -3, 0, -2, 1, -1, 1, -1, 2, 0, 2,
0, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3,
3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -1, 1, -1, 1, 0, 2, 0, 2, 1, 3, 2, 3, 2, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4,
4, 3, 4, 3, 4, 3, 3, 2, 3, 2, 2, 1, 1, 0, 1, 0, 0, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -2, -1, -2, -1, -1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 4, 2,
4, 1, 4, 1, 4, 1, 4, 0, 3, 0, 3, -1, 2, -1, 1, -2, 1, -2, 0, -2, 0, -3, -1, -3, -1, -3, -1, -3, -1, -3, -1, -2, -1, -2, -1, -2, -1, -2, -1, -1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0,
0, 0, 0, 0, -1, 0, -1, -1, -2, -1, -3, -1, -3, -1, -4, -1, -4, -1, -4, -1, -4, -1, -4, -1, -4, -1, -4, 0, -4, 0, -3, 1, -2, 1, -2, 2, -1, 2, 0, 3, 1, 3, 2, 3, 3, 4, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 3, 5, 3, 5, 2,
4, 2, 4, 1, 3, 1, 2, 0, 2, 0, 1, 0, 0, -1, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, 0, -2, 0, -1, 0, -1, 1, -1, 1, 0, 2, 1, 2, 1, 2, 2, 3, 2, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 2, 3, 2, 3, 1,
2, 1, 2, 0, 1, 0, 0, -1, 0, -1, -1, -1, -1, -2, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -2, -1, -1, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -2, -1,
-2, -1, -3, -2, -3, -2, -3, -2, -4, -2, -4, -2, -4, -2, -4, -2, -3, -2, -3, -2, -2, -1, -2, -1, -1, -1, 0, 0, 1, 0, 1, 1, 2, 1, 3, 1, 4, 2, 4, 2, 5, 2, 5, 2, 6, 2, 6, 2, 5, 1, 5, 1, 5, 1, 4, 0, 3, 0, 2, -1, 2, -1, 1, -1,
0, -2, -1, -2, -2, -2, -3, -3, -3, -3, -4, -3, -4, -2, -4, -2, -5, -2, -4, -1, -4, -1, -4, 0, -3, 0, -2, 1, -2, 1, -1, 2, 0, 2, 0, 3, 1, 3, 2, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1,
1, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, -1,
-1, -1, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, 0, 1, 0, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 2, 5, 2, 5, 1, 5, 1, 4, 1, 4, 1, 3, 0, 3, 0, 2, -1, 1, -1, 0, -2, -1, -2, -2, -3, -3, -3, -4, -3, -4, -3, -5, -4,
-5, -4, -6, -3, -6, -3, -6, -3, -6, -3, -6, -2, -5, -2, -5, -1, -4, -1, -3, 0, -2, 0, -2, 1, -1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, -1, -1, -1,
-1, -1, -1, -1, -1, -1, -1, 0, -1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, -1, 0, -1, 0, -2, 0, -2, 0, -2, 0, -2, 0, -3, 0, -3, 0,
-2, 1, -2, 1, -2, 1, -1, 2, 0, 2, 0, 2, 1, 3, 2, 3, 2, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 2, 3, 2, 3, 1, 2, 1, 1, 0, 0, 0, 0, -1, -1, -1, -2, -2, -2, -2, -3, -2, -3, -2, -4, -2, -4, -2, -4, -2, -3, -2,
-3, -2, -3, -1, -2, -1, -1, -1, -1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 2, 3, 2, 4, 2, 4, 2, 4, 2, 4, 1, 4, 1, 4, 1, 4, 0, 3, 0, 3, 0, 2, -1, 2, -1, 1, -2, 0, -2, 0, -2, -1, -3, -1, -3, -1, -3, -2, -3, -2, -3, -2, -3, -2, -2,
-1, -2, -1, -2, -1, -1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, -1, -2, -1, -3, -1, -3, -1, -4, -1, -4, -1, -4, -1, -4, -1, -4, 0, -4, 0, -3, 0, -2, 1, -2, 1,
-1, 2, 0, 2, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 4, 5, 4, 6, 4, 6, 3, 6, 3, 5, 3, 5, 2, 5, 2, 4, 2, 3, 1, 3, 1, 2, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -1, 1, -1, 1, 0, 2,
0, 2, 1, 2, 1, 3, 2, 3, 2, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1, -1, -1, -2, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -2, -1, -2, -1, -1, -1, -1, 0, 0, 0,
0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1, -1, -1, -1, -2, -1, -2, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -2, -2, -2, -1, -1, -1, 0, 0, 0, 0, 1, 0, 2, 1, 3, 1,
4, 1, 5, 1, 5, 2, 6, 2, 6, 2, 6, 2, 6, 1, 6, 1, 5, 1, 5, 0, 4, 0, 3, 0, 2, -1, 1, -1, 0, -1, 0, -2, -1, -2, -2, -2, -3, -2, -3, -2, -4, -2, -4, -2, -4, -2, -4, -1, -4, -1, -4, -1, -3, 0, -3, 1, -2, 1, -1, 1, -1, 2, 0, 2,
1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3,
4, 3, 4, 3, 3, 3, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 1,
4, 1, 4, 1, 4, 1, 3, 0, 3, 0, 2, 0, 1, -1, 1, -1, 0, -2, -1, -2, -2, -2, -3, -3, -4, -3, -4, -3, -5, -3, -5, -3, -5, -3, -6, -3, -5, -3, -5, -2, -5, -2, -4, -1, -4, -1, -3, 0, -2, 0, -1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2,
3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 3, 1, 2, 0, 2, 0, 1, 0, 1, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, -1, 0, -1, 0, -2, 0, -2, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -2, 1, -2, 1, -2, 1, -1, 2, 0, 2, 0, 3, 1, 3, 2, 3, 2, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 2,
3, 2, 2, 1, 2, 1, 1, 0, 0, 0, -1, -1, -1, -1, -2, -1, -2, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -1, -2, -1, -1, -1, -1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 0,
3, 0, 3, -1, 2, -1, 2, -1, 1, -2, 0, -2, 0, -2, -1, -3, -1, -3, -1, -3, -1, -3, -2, -3, -2, -2, -2, -2, -1, -2, -1, -2, -1, -1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0,
-1, 0, -1, -1, -2, -1, -2, -1, -3, -1, -3, -1, -3, -1, -3, -1, -3, -1, -3, -1, -3, 0, -3, 0, -2, 0, -2, 1, -1, 1, 0, 2, 1, 2, 2, 2, 2, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 2, 4, 2, 4, 2, 3, 1, 3, 1,
2, 0, 1, 0, 1, 0, 0, 0, -1, -1, -1, -1, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -2, 0, -1, 1, -1, 1, 0, 2, 0, 2, 0, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0,
-1, 0, -1, 0, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, -1, 0, -1, -1, -1, -1, -2, -2, -2, -2, -2,
-3, -2, -3, -2, -3, -3, -3, -2, -3, -2, -3, -2, -2, -2, -2, -2, -1, -1, -1, -1, 0, -1, 1, 0, 2, 0, 2, 0, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 0, 4, 0, 4, 0, 3, -1, 2, -1, 2, -1, 1, -1, 0, -2, -1, -2, -2, -2,
-2, -2, -3, -2, -3, -2, -4, -2, -4, -2, -4, -1, -4, -1, -3, 0, -3, 0, -2, 0, -2, 1, -1, 1, -1, 2, 0, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1,
-2, -1, -2, -1, -2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 4, 2, 4, 2, 4, 1, 4, 1, 3, 1, 3, 1, 2, 0, 2, 0, 1, 0, 0, -1, 0, -1, -1, -1, -2, -2, -2, -2, -3, -2, -4, -2, -4, -2, -4, -2, -4, -2,
-4, -2, -4, -2, -4, -1, -3, -1, -3, -1, -2, 0, -1, 0, -1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 0, 2, 0, 2, 0, 2, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1,
0, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, -1, 0, -1, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 1, -2, 1, -2, 1, -1, 2,
-1, 2, 0, 2, 0, 3, 1, 3, 2, 3, 2, 3, 3, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1, -2, -1, -2, -1, -2, -2, -3, -2, -3, -2, -3, -2, -2, -1, -2, -1, -2, -1, -1, -1,
-1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 0, 3, 0, 3, 0, 3, 0, 2, -1, 2, -1, 2, -1, 1, -2, 1, -2, 0, -2, 0, -2, 0, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, 0, 0,
0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -1, 0, -1, 0, -1, 1, 0, 1, 1, 1, 1, 2,
2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 1, 3, 1, 3, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, -1, -1, -1, -1, -1, -1, -1, -2, -1, -2, 0, -2, 0, -2, 0, -2, 0, -1, 1, -1, 1, -1, 1, 0, 2, 0, 2, 0, 2,
1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1,
2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, -2, -1, -2, -1, -2, -2, -2, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -2, -2, -2, -1, -2, -1, -2, 0, -1, 0, -1, 1, -1, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0,
4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 3, 0, 3, 0, 3, 0, 2, -1, 2, -1, 1, -1, 0, -1, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -2, 1, -1, 1, -1, 2, 0, 2, 0, 2, 0, 2, 1, 3, 1, 3, 2, 3,
2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1,
2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1,
3, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, -1, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -3, -1, -3, -1, -2, -1, -2, -1, -2, -1, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0,
2, 0, 2, -1, 2, -1, 2, -1, 1, -1, 1, -1, 1, -1, 1, -2, 1, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1,
0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 2, 0, 2, 0, 2, 0, 2, 0, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 1, 1,
1, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, -1, 2, -1, 1, -1, 1, -1, 1, -1,
1, -1, 1, -1, 1, -2, 1, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, -1,
0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0,
0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 2, -1, 2, -1, 2, -1, 2, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -2, 0, -2, -1, -2, -1, -2, -1, -2, -1, -3, -1, -3, -2, -3, -2, -3,
-2, -2, -2, -2, -2, -2, -2, -2, -1, -2, -1, -2, -1, -2, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0,
0, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1,
0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -1,
-2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 2, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0,
-1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3,
1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1,
-2, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1,
0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0,
-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, 0, 3,
0, 3, 0, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1,
-1, -1, -1, -1, -1, -1, -1, -1, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 1, 0,
1, 0, 2, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 1, 1,
1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, -1, 1, -1, 0, -1, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, -1, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1,
3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -3, -1, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -2, -2, -2, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -2, 1, -2,
1, -1, 1, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -2, 0, -2, 1, -2, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2,
3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 3, 1, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0,
1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -3, -1, -3, -1, -3, -1, -3, -1, -3, -1, -3, -1, -2, -1, -2, -1, -1, -1, -1, -1, 0, -1, 0, -1, 1, -1, 1, -1, 2, 0, 2, 0, 3, 0, 3, 0, 3, 0, 4, 0,
4, 1, 4, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0,
2, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -3, -1, -3, -1, -3, -1, -2, -1, -2, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1,
2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, 0, 2, 0, 2, 1, 2, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 5, 3, 5, 3, 5, 3, 4, 3, 4, 3, 4, 3,
3, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, -1, 0, -1, 0, -2, 0, -2, -1, -2, -1, -2, -1, -2, -1, -2, -2, -2, -2, -2, -2, -1, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, -1, -2, -1, -2,
-1, -2, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, 0, 1, 0, 1, 0, 2, 0, 3, 0, 3, 1, 3, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 1,
1, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1,
-1, 0, -1, 0, -2, 0, -2, 0, -2, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 4, 1, 3, 1, 3, 1, 3, 0, 3, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, -1, -1, -1, -1, -1, -2, -1, -2, -2, -3, -2,
-3, -2, -4, -2, -4, -2, -4, -3, -4, -3, -4, -3, -4, -3, -3, -3, -3, -3, -2, -3, -2, -3, -1, -2, -1, -2, 0, -2, 0, -2, 1, -2, 1, -1, 2, -1, 2, -1, 2, -1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 1, -1, 1, -1, 1,
-2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -1, 1, -1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 2, 0, 2, 0, 2, 0, 2,
-1, 2, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -3, -1, -3, -1, -3, -1, -3, -1,
-3, -1, -2, -1, -2, -1, -2, -1, -1, -1, 0, -1, 0, -1, 1, 0, 1, 0, 2, 0, 3, 0, 3, 0, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 3, 1, 3, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, -1, 0, -1, 0, -1, 0,
-1, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 1, -1, 1, -1, 0, -1, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -3, -1, -3, -1, -3, -1, -3, -1, -3, -1, -3, -1, -3, -1, -3, -1,
-3, -1, -2, -1, -2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, -1, 2, -1, 2, -1, 2, 0, 2, 0, 2, 0, 3,
1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 4, 3, 4, 3, 4, 2, 3, 2, 3, 2, 2, 2, 1, 1, 1, 1, 0, 1, -1, 0, -1, 0, -2, 0, -2, -1, -2, -1, -3, -1, -3, -1, -3, -2, -3, -2, -2, -2,
-2, -2, -2, -2, -2, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0,
2, 0, 2, 1, 3, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 1, 4, 2, 4, 2, 4, 2, 3, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, -1, 1, -1, 1, -1, 1, -2, 1, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, 0, 0,
0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, -1, 0, -1, 0, -2, 0, -2, 0, -2, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -2, 0, -2, 0, -1, 0, -1, 0, 0, 0, 0, 1,
1, 1, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 0,
3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 2, 0, 2, 0, 2, -1, 1, -1, 0, -1, 0, -1, -1, -1, -1, -2, -2, -2, -3, -2, -3, -2, -4, -2, -4, -2, -4, -3, -4, -3, -4, -3, -4, -3, -4, -3, -3, -3, -3, -3, -2, -2, -2, -2, -1, -2, -1, -2, 0, -2, 0, -2, 1, -1,
1, -1, 2, -1, 2, -1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 1, -2, 1, -1, 1, -1, 1, -1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 2,
4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 2, 3, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, -1, 2, -1, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0,
1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -2, 0, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 1, 4, 1, 4, 1, 4, 1, 5, 1, 5, 1,
5, 1, 4, 1, 4, 2, 4, 2, 4, 2, 3, 1, 3, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1,
1, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -3, -1, -3, -1, -3, -1, -4, -1, -4, -1, -4, -1, -3, -1, -3, -1, -3, -1, -2, -1, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2,
3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 2, 3, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 4, 2, 5, 2, 5, 2, 5, 2, 5, 2, 4, 2, 4, 2, 4, 2,
3, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, -1, 0, -1, 0, -2, -1, -2, -1, -3, -1, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -3, -2, -2, -2, -2, -2, -2, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -2, 0, -2, 1, -2, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1,
0, -1, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 1, 4, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 1, 1,
0, 1, 0, 1, -1, 1, -1, 1, -2, 1, -2, 0, -2, 0, -2, 0, -3, 0, -3, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1,
-1, 1, -1, 1, -2, 0, -2, 0, -2, 0, -3, 0, -3, 0, -3, 0, -3, 0, -2, 0, -2, 0, -1, 1, -1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 2, 3, 2, 4, 2, 4, 2, 4, 2, 5, 3, 5, 3, 5, 3, 5, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3,
3, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 1, -1, 1, -1, 0, -2, 0, -2, -1, -2, -1, -2, -2, -2, -2, -2, -3, -2,
-3, -2, -4, -2, -4, -2, -4, -2, -4, -2, -4, -2, -4, -2, -3, -2, -3, -2, -3, -2, -2, -2, -2, -2, -1, -1, 0, -1, 0, -1, 1, -1, 1, -1, 2, -1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, -1, 2, -1, 2,
-1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, -1, 1, -1, 1,
-2, 1, -2, 1, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1,
-1, 1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 4, 1, 5, 1, 5, 1, 5, 1, 4, 1, 4, 1, 4, 1, 3, 1, 3, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1,
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -1, -2, 0, -2, 0, -2, 0, -2, 0, -2, 1, -2, 1, -2, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, 0, -2, 0, -2, 0, -2, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0,
-3, 0, -2, 0, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 2,
0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 3, 1, 3, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, -1, -2, -1, -2, -1, -2, -1, -3, -1, -3, -2, -3, -2, -3, -2, -3, -2,
-3, -2, -2, -2, -2, -2, -2, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -1, 0, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 0, 0, 0, 1, 0,
1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 1, 3, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, -1, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 1, -3, 0, -3, 0, -3, 0, -3, 0, -2, 0, -2, 0, -2, 0, -1, 0,
-1, -1, 0, -1, 0, -1, 1, -1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -1, 1, -1, 1, 0, 1, 0, 1, 1, 1,
1, 1, 2, 1, 3, 2, 3, 2, 4, 2, 4, 2, 4, 2, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 4, 3, 4, 3, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -2, 1, -2,
1, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 1, -2, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -3, -1, -3, -1, -3, -1, -4, -1, -4, -1, -4, -1, -4, -1, -3, -1, -3, -1, -3, -1, -2, -1, -2, -1, -1, -1, -1, -1, 0, -1, 0, -1,
1, -1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1,
3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, -1, 1, -1, 1, -1, 1, -2, 1, -2, 0, -2, 0, -2, 0, -2, 0, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1,
1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 0, 4, 0, 4, 0,
4, 0, 4, 0, 4, 1, 4, 1, 4, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -3, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 3, 1, 3, 1, 3, 2, 3, 2, 4, 2,
4, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0,
3, 0, 3, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, -1, -2, -1, -2, -1, -2, -1, -3, -1, -3, -2, -3, -2, -3, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 2, -1, 2, -1, 2, 0, 2, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 1, 2, 1, 2, 1, 2, 1, 1, 1,
1, 2, 0, 2, 0, 2, -1, 2, -1, 2, -1, 1, -2, 1, -2, 1, -2, 1, -3, 1, -3, 0, -3, 0, -2, 0, -2, 0, -2, 0, -2, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1,
1, 1, 1, 2, 0, 2, 0, 2, 0, 2, -1, 2, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 2, 3, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 3, 2, 3, 2,
3, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -2, 0, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, 0,
-2, 0, -2, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, -1, -3, -1, -3, -1, -3, -1, -2, -1, -2, -1, -2, -1, -1, -1, -1, -1, 0, -1, 0, -1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2,
0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, -1, 1,
-1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1,
-1, 1, -1, 1, -1, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1,
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 1, -1, 0,
-1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 3, 0, 3, 0, 2, 0, 2, 0, 2, 0, 1,
0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, -2, -1, -2, -1,
-2, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,
1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 1, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0,
-1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 1, -1,
1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1,
2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 2, -1, 2, -1, 2, -1,
2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1,
0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2,
2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0,
2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1,
0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1,
0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0,
-2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, 0, 1, 0, 1,
0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1,
-1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, 0, 1, 0, 1,
0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1,
0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, -2, -2, -2, -2, -2, -2, -1, -2, -1, -2, -1, -2, -1, -1, -1, -1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 0,
2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -1, 2, -1, 2, -1, 2, -1, 2, 0, 2, 0, 3, 0, 3, 1, 3,
1, 3, 1, 3, 1, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1,
2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2,
2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0,
1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2,
1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1,
2, 0, 2, 0, 2, 0, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1,
1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1,
0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -2, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 0, 2, 0, 2, 0, 2, 0,
1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, -1, 1, -1, 1, -1, 0, -2, 0, -2, 0, -2, -1, -2, -1, -2, -1, -2,
-2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -2, -1, -1, -1, -1, -1, -1, 0, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1,
-1, 1, -1, 1, -1, 1, -1, 1, -1, 2, -1, 2, -1, 2, -1, 2, -1, 3, -1, 3, -1, 3, 0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 1, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0,
1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -1,
-2, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0,
-1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, 0, -1, 0, -1, 0, 0, 1,
0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2,
0, 3, 0, 3, 0, 3, 1, 3, 1, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 1, 3, 1, 3, 0, 3, 0, 2, 0, 2, -1, 2, -1, 2, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
-1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2,
1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1,
1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 3, 0, 3, 0, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1, -1, 2, -1, 2, -1, 2, 0, 2, 0, 2, 0, 2, 0, 2,
0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0,
2, 0, 2, 0, 2, -1, 2, -1, 2, -1, 2, -2, 2, -2, 1, -2, 1, -2, 1, -2, 0, -2, 0, -2, 0, -2, -1, -2, -1, -2, -1, -2, -1, -2, -2, -2, -2, -1, -2, -1, -2, -1, -2, -1, -2, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1,
2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, -1, 2, -1, 3, -1, 3, -1, 3, -1, 3, -1, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 1, 2, 1, 2, 1, 2,
1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, -1,
2, -1, 2, -1, 2, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -2, 1, -2, 1, -2, 1, -1, 1, -1, 2, -1, 2, -1, 2, -1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1,
2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1,
1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2,
1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1,
2, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0,
0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0,
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1,
1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 1, -2, 1, -2, 1, -2, 1, -2, 0, -2, 0, -2, 0, -1, 0, -1, -1, -1,
-1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2,
0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 2, -1, 2, -1, 2,
-1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2,
0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 1, -1, 1,
-1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1,
0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0,
0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 0, 3, 0, 3, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -2, 1, -2,
1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -2, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0,
1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, -1, 2, -1, 2, -1, 2, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0,
2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2,
1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1,
1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0,
2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, -1, 2, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -1, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1,
2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1,
2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1,
0, 1, -1, 1, -1, 1, -1, 0, -1, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, -1, -2, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0,
1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0,
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,
0, 1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0,
-1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0,
0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, -1, 1, -1, 1, -2, 1, -2, 0, -2, 0,
-2, 0, -2, 0, -3, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
-1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1,
-1, 1, -1, 1, -1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0,
-1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 2, -1, 2, 0, 2,
0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, 0, -2, -1, -2, -1, -3, -1, -3, -1, -3, -1, -3, -1, -3, -1, -3, 0, -2, 0, -2, 0, -2, 0, -1, 0,
-1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, -1, 2, -1, 3, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2,
2, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 3, 2, 3, 1, 3, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 2, -2, 2, -2, 2, -1, 2, -1, 2, -1, 2, -1, 1, 0, 1, 0, 1,
0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1,
2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 2, -1, 2, -1, 2, -1, 2, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0,
1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 3, 0,
3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, -1, 1, -1, 1, -2, 1, -2, 1, -2, 0, -2, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -2, 0, -2, 0, -2, 0, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1,
1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1,
3, 1, 3, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0,
2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1,
3, 1, 3, 1, 3, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, -1, 0, -1, 0, -1, 0, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 2, -1, 2, -1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0,
2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 2, 1,
1, 1, 1, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -2, 1, -2, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1,
0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0,
-1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 2, 2, 2, 2,
1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -2, 0,
-2, 0, -2, 0, -2, 0, -2, 0, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1,
-1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1,
0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
-1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0,
-1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0,
-1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -1, -2, -1, -2, -1, -2, -1, -2, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0,
0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1,
1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1,
2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0,
1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0,
1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1,
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0,
2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1,
-1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2,
1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1,
-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2,
2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2,
0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1,
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1,
1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1,
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1,
2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1,
0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1,
0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,
1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1,
0, 0, 0, 0, -1, 0, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1,
2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0,
-1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2,
1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2,
1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2,
0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2,
1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1,
-1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1,
2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1,
1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0,
1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0,
1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0,
2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0,
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2,
1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1,
-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2,
0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0,
-1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1,
-1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0,
1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1,
1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1,
2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0,
1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0,
2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1,
2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0,
1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1,
2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0,
};
